博士（理学）, 東京理科大学

Entropy

Information theory

Inequality

Matrix analysis

Operator theory

Convex analysis

Natural sciences, Basic mathematics, Inequality

Informatics, Information theory, Information Theory

Natural sciences, Basic mathematics, Matrix analysis

Tokyo University of Science, Faculty of Science and Technology, Mathematics

Science University of Tokyo, Graduate School of Science and Technology (Master's Course), Information Science

Sharp bounds of HH–Mercer inequalities for quadrature formulas in fractional calculus as part of numerical analysis
Muhammad Aamir Ali; Jianqiang Xie; Shigeru Furuichi
Journal of Computational and Applied Mathematics, 2026, Refereed, Not invited
Last

Novel extensions of k-harmonically convex functions and their applications in information science
Asfand Fahad; Shigeru Furuichi; Zammad Ali; Yuanheng Wang
PLOS One, Jul. 2025, Refereed, Not invited

New results on idempotent operators in Hilbert spaces
Salma Aljawi; Cristian Conde; Kais Feki; Shigeru Furuichi
Axioms, Jul. 2025, Refereed, Invited
Last

Revisiting Popoviciu’s inequality
Mohammad Sababheh; Shigeru Furuichi; Hamid Reza Moradi
Rocky Mountain Journal of Mathematics, May 2025, Refereed, Not invited

Some Bounds for the Generalized Spherical Numerical Radius of Operator Pairs with Applications
Najla Altwaijry; Silvestru Sever Dragomir; Kais Feki; Shigeru Furuichi
Mathematics, Apr. 2025, Refereed, Invited
Last

Fractal calculus of variations for problems with constraints
Alireza Khalili Golmankhaneh; Carlo Cattani; Roman Pasechnik; Shigeru Furuichi; Palle E. T. Jorgensen
Modern Physics Letters A, Mar. 2025, Refereed, Not invited

Operator quadratic mean and positive linear maps
H.R. Moradi; S.Furuichi; M.Sababheh
J. Math. Inequal, Jan. 2025, Refereed, Not invited
Corresponding

Novel fractional integral inequalities for GA-Cr -convex functions and connections with information systems
Asfand Fahad; Zammad Ali; Shigeru Furuichi; Yuanheng Wang
Alexandria Engineering Journal, Jan. 2025, Refereed

New bounds for the Euclidean numerical radius of two operators in Hilbert spaces
N.Altwaijry; S.S.Dragomir; K.Feki; S. Furuichi
Symmetry, Dec. 2024, Refereed, Invited
Last

New inequalities for GA–h convex functions via generalized fractional integral operators with applications to entropy and mean inequalities
A. Faha; Z. Ali; S. Furuichi; S. I. Bu; Ayesha; Y. Wang
Fractal Fract., Dec. 2024, Refereed, Not invited

Some inequalities for spectral geometric mean with applications
Shigeru Furuichi; Yuki Seo
Linear and Multilinear Algebra, Dec. 2024, Refereed, Not invited
Lead

Complementary results for h-convex functions with applications
M. Sababheh; N. Minculete; H. R.Moradi; S.Furuichi
Journal of Nonlinear and Convex Analysis, Nov. 2024, Refereed, Not invited
Last

Bounds in Normed Spaces Using Convex Functions
M.Sababheh; S.Furuichi; N. Minculete; H.R.Moradi
Iranian Journal of Science, Oct. 2024, Refereed, Not invited

Improved Hermite–Hadamard Inequality Bounds for Riemann–Liouville Fractional Integrals via Jensen’s Inequality
Muhammad Aamir Ali; Wei Liu; Shigeru Furuichi; Michal Fečkan
Fractal and Fractional, Sep. 2024, Refereed, Not invited

Extensions of matrix mean inequalities to sector matrices
L.Nasiri; S.Furuichi
Journal of Mathematical Inequalities, Sep. 2024, Refereed, Not invited
Corresponding

Reversed Hermite-Hadamard inequality with applications
M.Sababheh; T.H.Dinh; H.R. Moradi; S. Furuichi
Journal of Mathematical Inequalities, Sep. 2024, Refereed, Not invited
Last

On some relative operator entropies by convex inequalities
S. Furuichi; H.R.Moradi; S. Dutta
Journal of Convex Analysis, Jul. 2024, Refereed
Lead

Further properties of accretive matrices
S.Furuichi; H.R.Moradi; M.Sababheh
Annales Fennici Mathematici, Jun. 2024, Refereed, Not invited
Lead

Wigner-Yanase-Dyson function and logarithmic mean
S. Furuichi
Journal of Mathematical Inequalities, Jun. 2024, Refereed, Not invited
Lead

Further Jensen-Mercer's type inequalities for convex functions
F. P. Mohebbi; M. Hassani; M. E. Omidvar; H. R. Moradi; S. Furuichi
Journal of Mathematical Inequalities, Jun. 2024, Refereed, Not invited
Last

Operator inequalities via the triangle inequality
M. Sababheh; S. Furuichi; H. R. Moradi
Journal of Mathematical Inequalities, Jun. 2024, Refereed, Not invited

On bounds of logarithmic mean and mean inequality chain
S. Furuichi; M.E.Amlashi
Math. Inequal. Appl., May 2024, Refereed, Not invited
Lead

Exploring properties and inequalities for geometrically arithmetically-Cr-convex functions with Cr-order relative entropy
A.Fahad; Y.Wang; Z.Ali; R.Hussain; S.Furuichi
Information Sciences, Feb. 2024, Refereed, Not invited
Last

Subadditive and superadditive inequalities for convex and superquadratic functions
H.R.Moradi; N.Minculete; S.Furuichi; M.Sababheh
Carpathian J. Math., Jan. 2024, Refereed

On a binary operation for positive operators
S.Furuichi; H.R.Moradi; C.Conde; M. Sababheh
Acta Scientiarum Mathematicarum, Dec. 2023, Refereed, Invited
Lead

Some new properties of geometrically-convex functions
S.Furuichi; N. Minculete; H.R.Moradi; M.Sababheh
Quaestiones Mathematicae, Oct. 2023, Refereed, Not invited
Lead

Sharpening celebrated convex inequalities with applications to operators and entropies
Mohammad Sababheh; Shigeru Furuichi; Hamid Reza Moradi
Reviews in Mathematical Physics, Sep. 2023, Refereed, Not invited

Generalized Cauchy–Schwarz inequalities and A-numerical radius applications
Najla Altwaijry; Kais Feki; Shigeru Furuichi
Axiom, Jul. 2023, Refereed, Not invited
Last

Improvements of the weighted Hermite-Hadamard inequality and applications to mean inequality
Shigeru Furuichi; Nicuşor Minculete; Hamid Reza Moradi
Journal of Mathematical Inequalities, Jul. 2023, Refereed
Lead

Quasi-convex and Q-class functions
H.R.Moradi; S.Furuichi; M.Sababheh
Journal of Mathematical Inequalities, Jun. 2023, Refereed, Not invited

On Symmetrized and Wright convexity
Hamid Moradi; Shigeru Furuichi; Mohammad Sababheh
FILOMAT, Jun. 2023, Refereed, Not invited

Mathematical inequalities on some weighted means
Shigeru Furuichi; Kenjiro Yanagi; Hamid Reza Moradi
Journal of Mathematical Inequalities, Jun. 2023, Refereed, Not invited
Lead

Improved matrix inequalities using radical convexity
Mohammad Sababheh; Shigeru Furuichi; Hamid Reza Moradi
Journal of Mathematical Inequalities, May 2023, Refereed, Not invited

A note on Kantorovich and Ando inequalities
Mohammad Sababheh; Hamid Reza Moradi; Ibrahim Halil Gumus; Shigeru Furuichi
FILOMAT, Apr. 2023, Refereed, Not invited
Last

Operator spectral geometric versus geometric mean
Hamid Reza Moradi; Shigeru Furuichi and Mohammad Sababheh
Linear and Multilinear Algebra, Jan. 2023, Refereed, Not invited

On log-sum inequalities
Supriyo Dutta and Shigeru Furuichi
Linear and Multilinear Algebra, Jan. 2023, Refereed, Not invited
Last

More results on weighted means
Shigeru Furuichi and Mehdi Eghbali Amlashi
Journal of Mathematical Inequalities, Dec. 2022, Refereed, Not invited
Lead

Operator geodesically convex functions and their applications
Venus Kaleibary; Mohammad Reza Jabbarzadeh and Shigeru Furuichi
Linear and Multilinear Algebra, Apr. 2022, Refereed, Not invited
Last

Singular values inequalities for matrix means
M. Sababheh; S. Furuichi; S. Sheybani; H. R. Moradi
Journal of Mathematical Inequalities, Apr. 2022, Refereed, Not invited

New inequalities for sector matrices applying Garg–Aujla inequalities
Leila Nasiri and Shigeru Furuichi
Advances in Operator Theory, Jan. 2022, Refereed, Not invited
Last

On a reverse of the Tan-Xie inequality for sector matrices and its applications
Leila Nasiri and Shigeru Furuichi
Journal of Mathematical Inequalities, Dec. 2021, Refereed, Not invited
Last

Bounds for the differences between arithmetic and geometric means and their applications to inequalities
Shigeru Furuichi and Nicusor Minculete
Symmetry, Dec. 2021, Refereed, Not invited
Lead

On the arithmetic-geometric mean inequality
M. Sababheh; S. Furuichi; Z.Heydarbeygi and H. R. Moradi
Journal of Mathematical Inequalities, Dec. 2021, Refereed, Not invited

Revisiting the Gruss inequality
H. R. Moradi; S. Furuichi; Z. Heydarbeygi and M. Sababheh
Operators and Matrices, Dec. 2021, Refereed, Not invited

Some operator inequalities via convexity
Hamid Reza Moradi; Shigeru Furuichi; Mohammad Sababheh
Linear and Multilinear Algebra, Nov. 2021, Refereed, Not invited

On the Operator Hermite–Hadamard Inequality.
H. R. Moradi; M. Sababheh and S. Furuichi
Complex Anal. Oper. Theory, Oct. 2021, Refereed, Not invited

Composite convex functions
Mohannad Sababheh; Shigeru Furuichi and Hamid Reza Moradi
Journal of Mathematical Inequalities, Oct. 2021, Refereed, Not invited

A sharper bound for the Jensen's operator inequality
Hamid Reza Moradi; Shigeru Furuichi and Mohammed Sababheh
Journal of Nonlinear and Convex Analysis, May 2021, Refereed, Not invited

Refined Young inequality and its applications to divergences
Shigeru Furuichi and Nicuşor Minculete
Entropy, Apr. 2021, Refereed, Not invited
Lead

On the operator Aczel inequality and its reverse
Shigeru Furuichi; Mohammad Reza Jabbarzadeh and Venus Kaleibary
Journal of Mathematical Inequalities, Apr. 2021, Refereed, Not invited
Lead

New inequalities for interpolational operator means
Shigeru Furuichi; Hamid Reza Moradi and Mohammad Sababheh
Journal of Mathematical Inequalities, Apr. 2021, Refereed, Not invited
Lead

On weighted means and their inequalities
Mustapha Raissouli and Shigeru Furuichi
Journal of Inequalities and Applications, Apr. 2021, Refereed, Not invited

A two-parameter entropy and its fundamental properties
Supriyo Dutta; Shigeru Furuichi and Partha Guha
Reviews in Mathematical Physics, Feb. 2021, Refereed, Not invited

The logarithmic mean of two convex functionals
Mustapha Raïssouli and Shigeru Furuichi
Open Mathematics, Dec. 2020, Refereed, Not invited
Corresponding

Refined inequalities on the weighted logarithmic mean
Shigeru Furuichi and Nicuşor Minculete
Journal of Mathematical Inequalities, Dec. 2020, Refereed, Not invited
Lead

A complementary inequality to the information monotonicity for Tsallis relative operator entropy
Hamid Reza Moradi and Shigeru Furuichi
Linear and Multilinear Algebra, Sep. 2020, Refereed, Not invited
Corresponding

New Kantorovich type inequalities for negative parameters
Shigeru Furuichi and Hamid Reza Moradi
Analysis Mathematica, Aug. 2020, Refereed, Not invited
Lead

Improvement and generalization of some Jensen-Mercer-type inequalities
Hamid Reza Moradi and Shigeru Furuichi
Journal of Mathematical Inequalities, Jun. 2020, Refereed, Not invited
Corresponding

Reversing Bellman operator inequality
Mohammad Sababheh; Hamid Reza Moradi and Shigeru Furuichi
Journal of Mathematical Inequalities, Jun. 2020, Refereed, Not invited

Integrals refining convex inequalities
M.Sababheh; H.R.Moradi and S.Furuichi
Bulletin of the Malaysian Mathematical Sciences Society, May 2020, Refereed, Not invited

Some inequalities involving Heron and Heinz means of two convex functionals
M. Raïssouli and S. Furuichi
Analysis Mathematica, Apr. 2020, Refereed, Not invited
Corresponding

New comparison theorems for the nth order neutral differential equations with delay inequalities
Osama Moaaz; Shigeru Furuichi and Ali Muhib
Mathematics, Mar. 2020, Refereed, Not invited
Corresponding

Some remarks on Tsallis relative operator entropy
Shigeru Furuichi and Hamid Reza Moradi
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, Jan. 2020, Refereed, Not invited
Lead

Encoding for the calculation of the permutation hypoentropy and their applications on full-scale compartment fire data
Flavia Corina Mitroi-Symeonidis; Ion Anghel and Shigeru Furuichi
Acta Technica Napocensis - Series: Applied mathematics, mechanics, and engineering, Dec. 2019, Refereed, Not invited

Further inequalities for numerical radius of Hilbert space operators
S. Tafazoli; H. R. Moradi; S. Furuichi and P.Harikrishnan
Journal of Mathematical Inequalities, Dec. 2019, Refereed, Not invited

Note on constants appearing in refined Young inequalities
Shigeru Furuichi
Journal of Inequalities and Special Functions, Oct. 2019, Refereed, Not invited
Lead

Some new Karamata type inequalities and their applications to some entropies
Shigeru Furuichi; Hamid Reza Moradi and Akram Zardadi
Reports on Mathematical Physics, Sep. 2019, Refereed, Not invited
Lead

Inequalities related to some types of entropies and divergences
Shigeru Furuichi and Nicsor Minculete
Physica A, Jul. 2019, Refereed, Not invited
Lead

New sharp inequalities for operator means
Shigeru Furuichi; Hamid Reza Moradi and Mohammad Sababheh
Linear and Multilinear Algebra, Jun. 2019, Refereed, Not invited
Lead

An extension of Jensen’s operator inequality and its application to Young inequality
Hamid Reza Moradi; Shigeru Furuichi; Flavia-Corina Mitroi-Symeonidis; Razieh Naseri
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, Apr. 2019, Refereed, Not invited
Corresponding

New Refinement of the Operator Kantorovich Inequality
Hamid Reza Moradi; Shigeru Furuichi and Zahra Heydarbeygi
Mathematics, Feb. 2019, Refereed, Not invited

Further improvements of Young inequality
Shigeru Furuichi
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, Jan. 2019, Refereed, Not invited
Lead

On further refinements for Young inequalities
Shigeru Furuichi and Hamid Reza Moradi
Open Mathematics, Jan. 2019, Refereed, Not invited
Lead

Generalized Reverse Young and Heinz Inequalities
Shigeru Furuichi; Mohammad Bagher Ghaemi and Nahid Gharakhanlu
Bulletin of the Malaysian Mathematical Sciences Society, Jan. 2019, Refereed, Not invited
Lead

Operator inequalities via geometric convexity
Mohammad Sababheh; Hamid Reza Moradi; Shigeru Furuichi
Mathematical Inequalities and Applications, 2019

Some refinements of classical inequalities
Shigeru Furuichi and Hamid Reza Moradi
Rocky Mountain Journal of Mathematics, Dec. 2018, Refereed, Not invited
Lead

Choi-Davis-Jensen's inequality without convexity
Jadranka Mićić; Hamid Reza Moradi and Shigeru Furuichi
Journal of Mathematical Inequalities, Nov. 2018, Refereed, Not invited
Corresponding

Exponential Inequalities for Positive Linear Mappings
Mohammad Sababheh; Hamid Reza Moradi; and Shigeru Furuichi
Journal of Function Spaces, Oct. 2018, Refereed, Not invited
Corresponding

Inequalities for Relative Operator Entropies and Operator Means
Shigeru Furuichi; Nicuşor Minculete
Acta Mathematica Vietnamica, Sep. 2018, Refereed, Not invited
Lead

Functional version for Furuta parametric relative operator entropy
Mustapha Raïssouli and Shigeru Furuichi
Journal of Inequalities and Applications, Aug. 2018, Refereed, Not invited
Corresponding

On reverses of the Golden-Thompson type inequalities
Mohammad Bagher Ghaemi; Venus Kaleibary and Shigeru Furuichi
Journal of Mathematical Inequalities, Jun. 2018, Refereed, Not invited
Corresponding

Reverses of operator Aczél inequality
Venus Kaleibary; Shigeru Furuichi
Comptes Rendus Mathematique, May 2018, Refereed, Not invited

Some complementary inequalities to Jensen’s operator inequality
Jadranka Mićić; Hamid Reza Moradi; Shigeru Furuichi
Journal of Inequalities and Applications, 2018, Refereed, Not invited

ESTIMATES FOR TSALLIS RELATIVE OPERATOR ENTROPY
Hamid Reza Moradi; Shigeru Furuichi; Nicusor Minculete
MATHEMATICAL INEQUALITIES & APPLICATIONS, Oct. 2017, Refereed, Not invited

On the reverse Young and Heinz inequalities
M.B.Ghaemi; N.Gharakhanlu and S.Furuichi
Journal of Mathematical Inequalities, Sep. 2017, Refereed, Not invited
Corresponding

Bounds and estimates on convex inequalities
Nicusor Minculete; Aurelia Florea and Shigeru Furuichi
Journal of Inequalities and Special Functions, Sep. 2017, Refereed, Not invited

ON THE REVERSE YOUNG AND HEINZ INEQUALITIES
Mohammad Bagher Ghaemi; Nahid Gharakhanlu; Shigeru Furuichi
JOURNAL OF MATHEMATICAL INEQUALITIES, Sep. 2017, Refereed, Not invited

A counter example for refined reverse Young inequality with Specht’s ratio
Shigeru Furuichi
Advances in Inequalities and Applications, Jun. 2017, Refereed, Not invited
Lead

Relative entropy and Tsallis entropy of two accretive operators
Mustapha Raissouli; Mohammad Sal Moslehian; Shigeru Furuichi
COMPTES RENDUS MATHEMATIQUE, Jun. 2017, Refereed, Not invited

Alternative proofs of the generalized reverse Young inequalities
Shigeru Furuichi
Advances in Inequalities and Applications, May 2017, Refereed, Not invited
Lead

On bounds for symmetric divergence measures
S. Furuichi; K. Yanagi; K. Kuriyama
BAYESIAN INFERENCE AND MAXIMUM ENTROPY METHODS IN SCIENCE AND ENGINEERING (MAXENT 2016), 2017, Refereed, Not invited

ESTIMATIONS OF HERON MEANS FOR POSITIVE OPERATORS
Masatoshi Fujii; Shigeru Furuichi; Ritsuo Nakamoto
JOURNAL OF MATHEMATICAL INEQUALITIES, Mar. 2016, Refereed, Not invited

PRECISE ESTIMATES OF BOUNDS ON RELATIVE OPERATOR ENTROPIES
Shigeru Furuichi
MATHEMATICAL INEQUALITIES & APPLICATIONS, Jul. 2015, Refereed, Not invited

Operator inequalities associated with relative operator entropies
Mohammad Bagher Ghaemi; Nahid Gharakhanlu; and Shigeru Furuichi
Advances in Inequalities and Applications, Jun. 2015, Refereed, Not invited
Corresponding

On Some Properties of Tsallis Hypoentropies and Hypodivergences
Shigeru Furuichi; Flavia-Corina Mitroi-Symeonidis; Eleutherius Symeonidis
ENTROPY, Oct. 2014, Refereed, Not invited

OPERATOR INEQUALITIES AMONG ARITHMETIC MEAN, GEOMETRIC MEAN AND HARMONIC MEAN
Shigeru Furuichi
JOURNAL OF MATHEMATICAL INEQUALITIES, Sep. 2014, Refereed, Not invited

Unitarily invariant norm inequalities for some means
Shigeru Furuichi
JOURNAL OF INEQUALITIES AND APPLICATIONS, May 2014, Refereed, Not invited

Generalized differences and Abel's type binomial theorems
Ken Kuriyama; Shigeru Furuichi
International Journal of Pure and Applied Mathematics, 2014, Refereed, Not invited

Uncertainty relations for generalized metric adjusted skew information and generalized metric adjusted correlation measure
Kenjiro Yanagi; Shigeru Furuichi and Ken Kuriyama
Journal of Uncertainty Analysis and Applications, Nov. 2013, Refereed, Not invited

Bounds of the logarithmic mean
Shigeru Furuichi; Kenjiro Yanagi
JOURNAL OF INEQUALITIES AND APPLICATIONS, Nov. 2013, Refereed, Not invited

Refined Young Inequalities with Specht's Ratio
Shigeru Furuichi
Journal of the Egyptian Mathematical Society, Sep. 2012, Refereed, Not invited
Lead

Schrodinger uncertainty relation, Wigner-Yanase-Dyson skew information and metric adjusted correlation measure
Shigeru Furuichi; Kenjiro Yanagi
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, Apr. 2012, Refereed, Not invited

Mathematical inequalities for some divergences
Shigeru Furuichi; Flavia-Corina Mitroi
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, Jan. 2012, Refereed, Not invited

Some inequalities on generalized entropies
Shigeru Furuichi; Nicusor Minculete; Flavia-Corina Mitroi
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012, Refereed, Not invited

Several applications of Cartwright-Field’s inequality
N.Minculeten and S.Furuichi
International Journal of pure and applied mathematics, Aug. 2011, Refereed, Not invited

Refinements of the trace inequality of Belmega, Lasaulce and Debbah
S.Furuichi and M.Lin
Australian Journal of Mathematical Analysis and Applications, May 2011, Refereed, Not invited
Lead

Mathematical analyses of 2010 FIFA world cup
Shigeru Furuichi; Hideitsu Hino
APPLIED MATHEMATICS & INFORMATION SCIENCES, May 2011, Refereed, Not invited

ON REFINED YOUNG INEQUALITIES AND REVERSE INEQUALITIES
Shigeru Furuichi
JOURNAL OF MATHEMATICAL INEQUALITIES, Mar. 2011, Refereed, Not invited

Metric Adjusted Skew Information and Metric Adjusted Correlation Measure
Kenjiro Yanagi; Shigeru Furuichi
NONLINEAR MATHEMATICS FOR UNCERTAINTY AND ITS APPLICATIONS, 2011, Refereed, Not invited

Characterizations of Generalized Entropy Functions by Functional Equations
Shigeru Furuichi
ADVANCES IN MATHEMATICAL PHYSICS, 2011, Refereed, Not invited

Inequalities for Tsallis relative entropy and generalized skew information
Shigeru Furuichi
LINEAR & MULTILINEAR ALGEBRA, 2011, Refereed, Not invited

Alternative reverse inequalities for Young's inequality
Shigeru Furuichi; Nicuşor Minculete
Journal of Mathematical Inequalities, 2011, Refereed, Not invited

A matrix trace inequality and its application
Shigeru Furuichi; Minghua Lin
LINEAR ALGEBRA AND ITS APPLICATIONS, Dec. 2010, Refereed, Not invited

An axiomatic characterization of a two-parameter extended relative entropy
Shigeru Furuichi
JOURNAL OF MATHEMATICAL PHYSICS, Dec. 2010, Refereed, Not invited

Schrodinger uncertainty relation with Wigner-Yanase skew information
Shigeru Furuichi
PHYSICAL REVIEW A, Sep. 2010, Refereed, Not invited

On generalized Fisher informations and Cremér-Rao type inequalities
Shigeru Furuichi
Journal of Physics: Conference Series, 2010, Refereed, Not invited

Trace inequalities on a generalized Wigner-Yanase skew information
S. Furuichi; K. Yanagi; K. Kuriyama
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, Aug. 2009, Refereed, Not invited

Trace inequalities for products of matrices
Shigeru Furuichi; Ken Kuriyama; Kenjiro Yanagi
Linear Algebra and Its Applications, Apr. 2009, Refereed, Not invited

On the maximum entropy principle and the minimization of the Fisher information in Tsallis statistics
Shigeru Furuichi
JOURNAL OF MATHEMATICAL PHYSICS, Jan. 2009, Refereed, Not invited

A review of the mathematical properties of the Tsallis entropies
Shigeru Furuichi
CURRENT THEMES IN ENGINEERING SCIENCE 2007, 2008, Refereed, Not invited

Generalized Wigner-Yanase Skew Information And Generalized Fisher Information
Kenjiro Yanagi; Shigeru Furuichi; Ken Kuriyama
2008 INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY AND ITS APPLICATIONS, VOLS 1-3, 2008, Refereed, Not invited

Matrix trace inequalities on Tsallis entropies
S.Furuichi
Journal of inequalities in pure and applied mathematics, 2008, Refereed, Not invited
Lead

A mathematical review of the generalized entropies and their matrix trace inequalities
Shigeru Furuichi
World Congress on Engineering 2007, Vols 1 and 2, 2007, Refereed, Not invited

A generalized Fannes’ inequality
S.Furuichi; K.Yanagi and K.Kuriyama
Journal of inequalities in pure and applied mathematics, 2007, Refereed, Not invited
Lead

A precise estimate of the computational complexity in Shor’s factoring algorithm
K.Kuriyama; S.Sano and S.Furuichi
Applied Mathematics and Information Science, 2007, Refereed, Not invited
Corresponding

Trace inequalities in nonextensive statistical mechanics
Shigeru Furuichi
LINEAR ALGEBRA AND ITS APPLICATIONS, Oct. 2006, Refereed, Not invited

Information theoretical properties of Tsallis entropies
S Furuichi
JOURNAL OF MATHEMATICAL PHYSICS, Feb. 2006, Refereed, Not invited

Information entropy of a Holstein-Primakoff SU(1,1) coherent state
M. Abdel-Aty; S. Abbas and S.Furuichi
International Journal of Modern Mathematics, 2006, Refereed, Not invited

A note on a parametrically extended entanglement-measure due to Tsallis relative entropy
S.Furuichi
INFORMATION, 2006, Refereed, Not invited
Lead

A generalized Skew information and uncertainty relation
K Yanagi; S Furuichi; K Kuriyama
IEEE TRANSACTIONS ON INFORMATION THEORY, Dec. 2005, Refereed, Not invited

On uniqueness theorems for Tsallis entropy and Tsallis relative entropy
S Furuichi
IEEE TRANSACTIONS ON INFORMATION THEORY, Oct. 2005, Refereed, Not invited

A note on operator inequalities of Tsallis relative operator entropy
S Furuichi; K Yanagi; K Kuriyama
LINEAR ALGEBRA AND ITS APPLICATIONS, Sep. 2005, Refereed, Not invited

Generalized Shannon inequalities based on Tsallis relative operator entropy
K Yanagi; K Kuriyama; S Furuichi
LINEAR ALGEBRA AND ITS APPLICATIONS, Jan. 2005, Refereed, Not invited

On trace inequalities and their applications to noncommutative communication theory
K Yanagi; S Furuichi; K Kuriyama
LINEAR ALGEBRA AND ITS APPLICATIONS, Jan. 2005, Refereed, Not invited

Pseudo information entropy of a single trapped ion interacting with a laser field
ASF Obada; S Furuichi; HF Abdel-Hameed; M Abdel-Aty
INFORMATION SCIENCES, May 2004, Refereed, Not invited

A note on extremal compact Riemann surfaces
M.Kawasaki and S.Furuichi
INFORMATION, 2004, Refereed, Not invited

Fundamental properties of Tsallis relative entropy
S.Furuichi; K.Yanagi and K.Kuriyama
Journal of Mathematical Physics, 2004, Refereed, Not invited
Lead

予測符号化を用いたCGイラスト画像の可逆画像符号化の改良について
井上 啓,黒塚 豊,古市 茂
INFORMATION, 2004, Refereed, Not invited

A note on sesquilinear forms and the generalized uncertainty relations in *-algebras
Ken Kuriyama; Kenjiro Yanagi and Shigeru Furuichi
Advances in Complex Analysis and its Applications, Nov. 2003, Refereed, Not invited

Comment on 'Note on generalization of Shannon theorem and inequality'
H Suyari; S Furuichi
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, May 2003, Refereed, Not invited

Remarks on concavity of the auxiliary function appearing in quantum reliability function
K Yanagi; S Furuichi; K Kuriyama
2003 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY - PROCEEDINGS, 2003, Refereed, Not invited

A sufficient condition on concavity of the auxiliary function appearing in quantum reliability function
S.Furuichi; K.Yanagi and K.Kuriyama
INFORMATION, 2003, Refereed, Not invited
Lead

Quasi-mutual entropy of a general bimodal cavity
A.-S.F.Obada; M.Abdel-Aty; S.Nakamura and S.Furuichi
International Journal of Pure and Applied Mathematics, 2003, Refereed, Not invited
Corresponding

Entanglement in a nondegenerate bimodal multiquanta two-level atom
S Nakamura; S Furuichi; M Abdel-Aty
LASER PHYSICS, Nov. 2002, Refereed, Not invited

Rigorous derivation of quasi-mutual entropy in Jaynes-Cummings model
S Furuichi; S Nakamura
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, Jul. 2002, Refereed, Not invited

Entanglement degree of a degenerate two-photon process with Kerr-like medium
M Abdel-Aty; S Furuichi; M Ateto
JAPANESE JOURNAL OF APPLIED PHYSICS PART 1-REGULAR PAPERS SHORT NOTES & REVIEW PAPERS, Jan. 2002, Refereed, Not invited

Entanglement of an effective two-level atom interacting with two quantized field modes
M Abdel-Aty; S Furuichi
PROGRESS OF THEORETICAL PHYSICS, Jan. 2002, Refereed, Not invited

Entanglement Degree of a Nonlinear Multiphoton JC-Model
M.Abdel-Aty; S.Furuichi and A.-S. F. Obada
Journal of Optics B, 2002, Refereed, Not invited
Corresponding

The number of Weierstrass points on certain cyclic branched coverings of the projective line II
M.Kawasaki and S.Furuichi
International Journal of Differential Equations and Applications, 2002, Refereed, Not invited
Corresponding

Entanglement in a squeezed two-level atom
S Furuichi; M Abdel-Aty
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, Sep. 2001, Refereed, Not invited

Note on quantum capacity in quantum amplifier channel
S Furuichi; K Oshima
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, Aug. 2001, Refereed, Not invited

Quantum-mechanical channel for Jaynes-Cummings model and its analysis by means of informations
S Furuichi; H Suyari; K Oshima; M Ohya
ELECTRONICS AND COMMUNICATIONS IN JAPAN PART III-FUNDAMENTAL ELECTRONIC SCIENCE, 2001, Refereed, Not invited

On Weierstrass points of a certain family of Riemann surfaces
M.Kawasaki and S.Furuichi
International Journal of Differential Equations and Applications, 2001, Refereed, Not invited
Corresponding

An improved ranking procedure applying a continuous weighted function
S.Furuichi; K.Oshima and I.Hofuku
International Journal of Applied Mathematics, 2000, Refereed, Not invited
Lead

Application of matrices generated by rank one matrices in mathematical science II
K.Oshima; I.Hofuku and S.Furuichi
INFORMATION, 2000, Refereed, Not invited

An information-theoretic aspect for the behavior of the two-level atom by means of a magnitude function
S.Furuichi; M.Ohya and K.Oshima
INFORMATION, 2000, Refereed, Not invited
Lead

Method for generating the forecast range for the final cumulative number of bugs in software development
I.Hofuku; K.Oshima and S.Furuichi
International Journal of Applied Mathematics, 2000, Refereed, Not invited

On analysis of quantum amplifier processes by quantum capacity
S Furuichi; M Ohya; K Oshima
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, Oct. 1999, Refereed, Not invited
Lead

Entanglement degree in the time development of the Jaynes-Cummings model
S Furuichi; M Ohya
LETTERS IN MATHEMATICAL PHYSICS, Sep. 1999, Refereed, Not invited

Quantum mutual entropy for Jaynes-Cummings model
S Furuichi; M Ohya
REPORTS ON MATHEMATICAL PHYSICS, Aug. 1999, Refereed, Not invited

Quantum control on quantum amplifier processes by means of squeezed state
S.Furuichi and K.Oshima
INFORMATION, 1999, Refereed, Not invited
Lead

Application of matrices generated by rank one matrices in mathematical science
K.Oshima and S.Furuichi
INFORMATION, 1999, Refereed, Not invited

Dynamic aspects of protein function I. Rationale of mathematical approach
Y Kiho; C Palmer; Y Shikata; S Furuichi; K Oshima
PROCEEDINGS OF THE JAPAN ACADEMY SERIES B-PHYSICAL AND BIOLOGICAL SCIENCES, Sep. 1998, Refereed, Not invited

Dynamic aspects of protein function II. Metastable functional system of trypsin
Y Kiho; A Ubasawa; T Iwai; S Furuichi; K Oshima
PROCEEDINGS OF THE JAPAN ACADEMY SERIES B-PHYSICAL AND BIOLOGICAL SCIENCES, Sep. 1998, Refereed, Not invited

Improvement of error probability by means of squeezed vacuum state
M Ohya; H Suyari; S Furuichi
ELECTRONICS AND COMMUNICATIONS IN JAPAN PART III-FUNDAMENTAL ELECTRONIC SCIENCE, Jul. 1998, Refereed, Not invited

量子力学的チャネルを用いたJaynes-Cummingsモデルの記述とその情報量による解析
古市茂; 須鎗弘樹; 大矢雅則; 大島邦夫
電子情報通信学会論文誌（A）, 1998, Refereed, Not invited
Lead

Ｃ言語教育用プログラミング支援システムとその統計的評価
大島邦夫; 古市茂; 岡崎世雄; 平澤京子
教育システム情報学会誌, 1998, Refereed, Not invited

Computation of mutual entropy in quantum amplifier processes
S Furuichi; M Ohya; H Suyari
QUANTUM COMMUNICATION, COMPUTING, AND MEASUREMENT, 1997, Refereed, Not invited

スクイズド真空状態による誤り確率の改善
大矢雅則; 須鎗弘樹; 古市茂
電子情報通信学会論文誌(A), 1997, Refereed, Not invited

★情報理論---エントロピーと符号化定理---
古市 茂, Single work, 1-292, 古市 茂
日本評論社, Feb. 2021
9784535789340

★Advances in Mathematical Inequalities
Shigeru Furuichi; Hamid Reza Moradi, Joint work, 1-259, Shigeru Furuichi and Hamid Reza Moradi
De Gruyter, Feb. 2020
9783110643435

Symmetry in the Mathematical Inequalities
Editor, Preface and edition, Soubhagya Kumar Sahoo et. al; Nicusor Minculete and Shigeru Furuichi Ed.
MDPI AG, Jun. 2022, Not refereed
9783036540054

Operator Theory, Functional Analysis and Applications
Joint work, On the operator Jensen-Mercer inequality, H.R.Moradi; S.Furuichi and M.Sababheh
Birkhauser, May 2021, Refereed
9783030519445

Inequalities
Sarfraz Nawaz Malik et. al; Shigeru Furuichi Ed, Editor, Preface and edition, Sarfraz Nawaz Malik et. al; Shigeru Furuichi Ed.
MDPI AG, Jan. 2020
9783039280629

CURRENT THEMES IN ENGINEERING SCIENCE 2007
A.M.Korsunsky, Joint work, Chapter 2(pp.11-20)(144頁中)
Melville, NewYork (American Institute of Physics), Sep. 2008

CURRENT THEMES IN ENGINEERING SCIENCE 2007
A.M.Korsunsky, Joint work, Chapter 2(pp.11-20)(144頁中), A.M.Korsunsky et. al.
Melville, NewYork (American Institute of Physics), Sep. 2008, Not refereed
9780735405738

Aspects of Optical Science and Quantum Information
M.Abdel-Aty e, Joint work, pp.1-86(382頁中), M.Abdel-Aty et. al.
Research Signpost, Dec. 2007, Not refereed
8130801477

Inequalities on spectral geometric mean and application for relative entropy
Shigeru Furuichi
The 26th Conference of the International Linear Algebra Society (ILAS2025), Jun. 2025, Not invited

Trace inequalities and Tsallis relative entropy
Shigeru Furuichi
9th Linear Algebra Workshop, Jun. 2025, Not invited

相対エントロピーと行列トレース不等式
古市 茂
環瀬戸内応用数理研究部会第2８回シンポジウム, Dec. 2024

一般化エントロピーとトレース不等式
古市 茂
日本数学会2024年度秋季総合分科会, Sep. 2024, Invited

Trace inequalities for the generalized relative entropies
Shigeru Furucihi
5TH EDITION - MACOS 2024, Jun. 2024, Not invited

Reduced Tsallis relative entropy
Shigeru Furuichi
2024 International Workshop on Matrix Analysis and Quantum Information Theory, Jun. 2024, Not invited

幾何平均とスペクトル幾何平均に関する不等式
古市 茂
日本数学会2023年度秋季総合分科会, Sep. 2023, Not invited

Spectral geometric mean versus geometric mean by generalized Kantorovich constant
Shigeru Furuichi
Mini-Symposium"Structured matrices with applications in sciences and engineering" in ICIAM2023, Aug. 2023, Invited

On log-sum inequalities
Supriyo Dutta; Shigeru Furuichi
Mini-Symposium"Inequalities;entropy with applications" in ICIAM2023, Aug. 2023, Not invited

Spectral geometric mean, geometric mean and Kantorovich constant
Shigeru Furuichi
ILAS2023, Jun. 2023, Not invited

対数平均と Wigner-Yanase-Dyson 関数に関する不等式
古市 茂
RIMS 共同研究(公開型) 作用素平均と関連する話題, Nov. 2022, Not invited

On inequalities related to logarithmic mean
Shigeru Furuichi
日本数学会2022年度秋季総合分科会, Sep. 2022, 日本数学会, Not invited

平均に関連した不等式について
第64回関東作用素論セミナー, Jan. 2020, Invited

On p-majorizations and inequalities for entropies
Shigeru Furuichi and Hamid Reza Moradi
The 42nd Symposium on information theory and it’s applications, Nov. 2019, SITA2019, Not invited

作用素Aczél不等式の逆不等式について
Shigeru Furuichi and Venus Kaleibary
日本数学会2019年度秋季総合分科会, Sep. 2019, 日本数学会, Not invited

Inequalities on Heinz and Heron functional means
Shigeru Furuichi and Mustapha Raissouli
NACA-ICOTA2019, Aug. 2019, Not invited

Inequalities for operator means and operator entropies of convex functional
Shigeru Furuichi and Mustapha Raissouli
IWOTA2019, Jul. 2019, Not invited

Generalization and improvements of numerical radius inequalities
Shigeru Furuichi and hamid Reza Moradi
The Fifteenth Workshop on Numerical Ranges and Numerical Radii, Jun. 2019, Not invited

Golden-Thompson型の逆不等式について
Venus Kaleibary
日本数学会2019年度年会, Mar. 2019, Not invited

Karamata型の不等式とそのエントロピーへの応用
古市茂
日本応用数理学会環瀬戸内応用数理研究部会第22回シンポジウム, Dec. 2018, 環瀬戸内応用数理研究部会, Not invited

On Some Results for Classical Inequalities
Ninth International Conference on Information, Dec. 2018, Not invited

Refinements and reverses for some classical inequalities
Shigeru Furuichi
Mathematical Inequalities and Applications 2018, Jul. 2018, Not invited

Mathematical properties of the hypoentropy and maximum hypoentropy principle
Shigeru Furuichi; Flavia-Corina Mitroi-Symeonidis and E.Symeonidis
Entropy 2018, May 2018, Not invited

平均とエントロピーに関する不等式の最近の結果
古市茂
2017年度 JMM ワークショップ 応用函数解析, Nov. 2017, 城西大学理学研究科数学専攻・理学部数学科, Not invited

Some operator inequalities related to means and entropies
Shigeru Furuiichi
6th International Eurasian Conference on Mathematical Science and Applications, Aug. 2017, Not invited

On estimates for Tsallis relative operator entropy
S.Furuichi
6th International Conference on Matrix Analysis and Applications(ICMAA 2017), Jun. 2017, Duy Tan University, Vietnam International Linear Algebra Society (ILAS) sponsors the conference, Not invited

Refinements of Young inequality and its reverse
Eighth International Conference on Information, May 2017, Not invited

On some inequalities for symmetric divergence measures
Shigeru Furuichi
Workshop “Quantum information theory and related topics 2016”, Sep. 2016, Ritsumeikan University

Remarks on bounds for symmetric divergence measures
S.Furuichi; K.Yanagi and K.Kuriyama
MaxEnt2016, Jul. 2016, Not invited

On some mathematical inequalities for some entropies
Shigeru Furuichi
The Seventh International Conference on Information, Nov. 2015, Not invited

正作用素に対するHeron mean に関連した不等式
藤井正俊,古市 茂,中本律男
日本数学会・2015年度秋季総合分科会, Sep. 2015, Not invited

On some properties of Tsallis hypoentropies and hypodivergences
Mitroi-Symeonidis Flavia-Corina; Eleutherius Symeonidis and Shigeru Furuichi
The eighth congress of Romanian Mathematicians, Jun. 2015, Not invited

Some inequalities related to operator means
Shigeru Furuichi
The eighth congress of Romanian Mathematicians, Jun. 2015, Not invited

ある平均に関するユニタリ不変ノルム不等式と作用素不等式について
古市 茂
日本応用数理学会環瀬戸内応用数理研究部会 第 18回シンポジウム, Dec. 2014, 日本応用数理学会環瀬戸内応用数理研究部会, Not invited

相対作用素エントロピーの上界と下界について
日本数学会2014年度秋季総合分科会 函数解析分科会, Sep. 2014, Not invited

On some unitarily invariant norm inequalities
IWOTA 2014, Jul. 2014, VU University, Not invited

Operator inequalities for some means and entropies
Mathematical inequalities and applications 2014 One thousand papers conference, Jun. 2014, Not invited

相対作用素エントロピーの上界と下界について
第19回関東作用素論セミナー, Apr. 2014, Invited

ある平均に関するユニタリ不変ノルム不等式
日本数学会2014年度年会 函数解析学分科会, Mar. 2014, Not invited

対数平均の上界と下界について
古市 茂,柳 研二郎
日本応用数理学会環瀬戸内応用数理研究部会 第 17 回シンポジウム, Jan. 2014, 日本応用数理学会環瀬戸内応用数理研究部会, Not invited

ある補助平均函数の凹性と一般化歪情報量の不確定性関係
柳 研二郎,古市 茂,栗山 憲
第３６回情報理論とその応用学会シンポジウム(SITA2013), Nov. 2013, Not invited

Concavity of an auxiliary mean function and its application
柳研二郎・古市茂・栗山憲
実解析学シンポジウム2013, Nov. 2013, Not invited

一般化歪情報量に関する不確定性関係
柳 研二郎,古市 茂,栗山 憲
日本数学会2013年度秋季総合分科会, Sep. 2013, 日本数学会, Not invited

Generalizations of uncertainty relations with skew information
K.Yanagi; S.Furuichi and K.Kuriyama
The Eighth International Conference on Nonlinear Analysis and Convex Analysis(NACA2013), Aug. 2013, Not invited

平均に関する行列不等式
第13回関東作用素論セミナー, Jul. 2013, Invited

Matrix inequalities on some means
von Neumann seminar in Renyi institute, Jul. 2013, Not invited

Mathematical inequalities on generalized entropies and divergences
N.Ninculete; F.-C.Mitroi
The Sixth International Conference on Information, May 2013, Not invited

行列、不等式、エントロピーに関する話題
代数幾何ミニ研究集会（埼玉大学）, Mar. 2013, Not invited

On some refinements of Young inequalities for positive operators
The Seventh International Workshop on Matrices and Operators, Jul. 2012, Not invited

On some trace inequalities
One hour invited lecture for the seminar in Academy of Mathematics and Systems Sicence, Chinese Academy of Sicence., May 2012, Not invited

Belmega-Lasaulce-Debbahの行列トレース不等式の改 良について
M.Lin
日本数学会2012年度年会 函数解析学分科会, Mar. 2012

Belmega-Lasaulce-Debbahの行列トレース不等式の改良について
M.Lin
日本数学会2012年度年会 函数解析学分科会, Mar. 2012, Not invited

Skew information に関するシュレーディンガー型の不確定性関係
柳研二郎
第34回情報理論とその応用シンポジウム(SITA2011), Dec. 2011, Not invited

情報量とエントロピーに関連した不等式について
作用素論・作用素環論研究集会, Nov. 2011, Not invited

Tsallis相対エントロピーの下界と上界について
ワークショップ：非加法的統計と情報幾何, Oct. 2011, Not invited

Metric adjusted skew information とmetric adjusted correlation measure に関連する不確定性関係について
柳研二郎
2011 日本数学会秋季総合分科会, Sep. 2011, 日本数学会, Not invited

Metric Adjusted Skew Information and Metric Adjusted Correlation Measure
Kenjiro Yanagi and Shigeru Furuichi
International Conference on Nonlinear Mathematics for Uncertainty and its Applications (NLMUA2011), Sep. 2011, HOSTED BY College of Applied Sciences, Beijing University of Technology SPONSORED BY Beijing University of Technology, China Kyushu Institute of Technology, Japan, Not invited

A matrix trace inequality and its applications to entropy theory
The 17th International Linear Algebra Society Conference, Aug. 2011, Not invited

Refinements of Young inequality and two reverse inequalities for refined Young inequality
22nd International Workshop on Operator Theory and its Applications (IWOTA 2011), Jul. 2011, Not invited

Wigner-Yanase skew informationを用いて定まる量に関するSchr\"odinger型の不確定性関係
日本数学会2011年度年会 函数解析学分科会, Mar. 2011, Not invited

Wigner-Yanase-Dyson skew information, metric adjusted correlation measure及びSchr\"odinger型の不確定性関係について
柳研二郎
日本数学会2011年度年会 函数解析学分科会, Mar. 2011, Not invited

Skew information, uncertainty relation and trace inequality
The fifth International Conference 2011 of Quantum Bio-informatics Center, Mar. 2011, Not invited

ある行列トレース不等式とその一般化エントロピーへの応用
日本応用数理学会 環瀬戸内応用数理研究部会 第14回シンポジウム, Jan. 2011, Not invited

2010 FIFA World Cupの数学的解析
日野英逸
日本応用数理学会 環瀬戸内応用数理研究部会 第14回シンポジウム, Jan. 2011, Not invited

トレース不等式とその応用
研究集会「独立性と従属性の数理-関数解析学の視点から-」, Dec. 2010, Not invited

ペロン-フロベニウスの定理と重み付き関数に基づいたランキング法-2010FIFA World Cupを例に-
古市茂,日野英逸
研究集会「独立性と従属性の数理-関数解析学の視点から-」, Dec. 2010, Not invited

一般化エントロピー関数の特徴付けと一意性定理について
第33回情報理論とその応用シンポジウム（SITA2010）, Dec. 2010, 情報理論とその応用学会, Not invited

ある行列トレース不等式とその応用
日本数学会2010年度秋季総合分科会 関数解析学分科会, Sep. 2010, Not invited

Young の不等式の改良について
日本数学会2010年度秋季総合分科会 関数解析学分科会, Sep. 2010, Not invited

On trace inequalities related to skew informations and generalized relative entropies
Information Geometry and its Applications III, Leipzig, Germany, Aug. 2010, Not invited

A refined Young inequality and related results
16th International Linear Algebra Society Conference, Jun. 2010, Not invited

二経数拡張された相対エントロピーの一意性定理
第32回情報理論とその応用シンポジウム（ＳＩＴＡ２００９）, Dec. 2009, Not invited

Skew informations, uncertainty relations and trace inequalities
S.Furuichi; K.Yanagi and K.Kuriyama
Fifth International Conference on INFORMATION, Nov. 2009, Not invited

On one-parameter extended Fisher information and Cramer-Rao inequality
The XVI International Congress on Mathematical Physics, Aug. 2009, International Association of Mathematical Physics, Not invited

On one-parameter extended Fisher information and Cramer-Rao inequality
S.Furuichi
Kyoto RIMS Workshop “Mathematical aspects of generalized entropies and their applications”, Jul. 2009, Not invited

A variational expression for generalized relative entropy
S.Furuichi
The Second Najman Conference on Spectral Problems for Operators and Matrices, May 2009, Not invited

Remarks on trace inequalities for products of matrices
S.Furuichi; K.Kuriyama and K.Yanagi
The Sixth International Conference on Nonlinear Analysis and Convex Analysis, Mar. 2009, Not invited

一経数拡張されたエントロピー最大化原理とCramer-Raoの不等式について
古市茂
日本数学会2009年度年会 統計数学分科会, Mar. 2009, Not invited

Generalized Wigner-Yanase Skew Information And Generalized Fisher Information
Kenjiro YANAGI; Shigeru FURUICHI and Ken KURIYAMA
International Symposium on Information Theory and its Applications, ISITA2008, Dec. 2008

Generalized Wigner-Yanase Skew InformationAnd Generalized Fisher Information
Kenjiro YANAGI; Shigeru FURUICHI; Ken KURIYAMA
International Symposium on Information Theory and its Applications, ISITA2008, Dec. 2008, Not invited

量子情報理論における不等式について
柳研二郎
環瀬戸内応用数理研究部会第12回シンポジウム, Oct. 2008, Not invited

Tsallis entropyに関する話題
研究会 「一般化エントロピーの数理」, Sep. 2008, Not invited

Wigner-Yanase-Dyson skew informationに関する不等式，III
古市茂,柳研二郎,栗山憲
日本数学会2008年度 秋季総合分科会, Sep. 2008, Not invited

Matrix trace inequalities on a generalized Wigner-Yanase skew information
S.Furuichi; K.Yanagi and K.Kuriyama
International Workshop on Operator Theory and Its Applications(IWOTA2008), Jul. 2008, Not invited

On trace inequalities for products of matrices
S.Furuichi; K.Kuriyama and K.Yanagi
15th International Linear Algebra Society Conference, Jun. 2008, Not invited

一般化されたskew informationに関連した不確定性関係
柳研二郎,古市茂,栗山憲
研究集会「バナッハ空間及び関数空間論の最近の進展とその応用」, Jun. 2008, Not invited

Wigner-Yanase-Dyson skew informationに関する不等式II
柳研二郎,古市茂,栗山憲
日本数学会2008年度年会 函数解析学分科会, Mar. 2008, Not invited

情報エントロピーと行列トレース不等式について
応用数理研究会記念講演会, Feb. 2008, Not invited

A mathematical review of the generalized entropies and their matrix trace inequalities
S.Furuichi
International Conference of Applied and Engineering Mathematics, 2007, Not invited

Inequalities in quantum information theory
S.Furuichi
The Second International Conference on MATHEMATICS: TRENDS AND DEVELOPMENTS, 2007, Not invited

Generalized skew information に関連した不等式
柳研二郎,古市茂,栗山憲
研究集会「非加法の数理と情報：非線形性・非可換性との接点」, 2007, Not invited

Wigner-Yanase-Dyson skew informationに関する不等式
古市茂,柳研二郎,栗山憲
日本数学会2007年度 秋季総合分科会 函数解析学分科会, 2007, Not invited

Wigner-Yanase-Dyson skew information に関する不確定性関係
古市茂,柳研二郎,栗山憲
実解析学シンポジウム 2007, 2007, Not invited

Axiomatic characterization of Tsallis relative entropy in terms of the generalized Hobson's axiom
S.Furuichi
The 5th Annual Hawaii International Conference on Statistics, Mathematics and Related Field, 2006, Not invited

Chain rules and subadditivities for nonextensive entropies and their applications
S.Furuichi
The 5th Annual Hawaii International Conference on Statistics, Mathematics and Related Field, 2006, Not invited

On trace inequalities related to Tsallis relative entropy
S.Furuichi
13th International Linear Algebra Society Conference, 2006, Not invited

Trace inequalities related to Tsallis relative entropy
S.Furuichi
Von Neumann seminar, in the Department for Mathematical Analysis, Budapest University of Technology and Economics, 2006, Not invited

Matrix trace inequalities in quantum information theory
S.Furuichi
The international conference Operator Theory in Quantum Physics (OTQP), 2006, Not invited

Some operator inequalities and trace inequalities related to Tsallis entropy
K.Yanagi S.Furuichi and K.Kuriyama
The Second International Symposium on BANACH and FUNCTION SPACES 2006, 2006, Not invited

Counter-examples of the trace inequalities related to the auxiliary function of the quantum reliability function
S.Furuichi and K.Yanagi
ISITA2006, 2006, Not invited

Remarks on trace inequalities related to the Tsallis relative entropy
古市茂
平成17 年度日本数学会中国・四国支部例会, 2006, Not invited

Tsallis 相対エントロピーの変分表現とその応用
古市茂
日本数学会2006年度年会, 2006, Not invited

Some results on Tsallis entropies (in classical system)
古市茂
研究集会「非加法の数理と情報：函数解析の視点から」, 2006, Not invited

Some results on Tsallis entropies (in quantum system)
古市茂
研究集会「線形作用素の理論と応用に関する最近の発展」, 2006, Not invited

古典－量子通信路における量子信頼性関数の補助関数の凹性, II
柳研二郎,古市茂
SITA2006, 2006, Not invited

Fundamental theorems on nonextensive entropies
S.Furuichi
International Workshop on Complexity and Nonextensivity, 2005, Not invited

Matrix inequalities and trace inequalities derived from Tsallis entropies
S.Furuichi; K.Yanagi and K.Kuriyama
12th International Linear Algebra Society Conference, 2005, Not invited

A Precise Estimation of the Computational Complexity in Shor's Factoring Algorithm (general case)
K.Kuriyama; S.Sano and S.Furuichi
ERATO conference on Quantum Information Science 2005, 2005, Not invited

On generalized skew information and uncertainty relation
古市茂
第2回IIAS「量子情報の数理」(ホワイトノイズ30周年記念), 2005, Not invited

Shorの素因数分解アルゴリズムにおける計算量の精密な評価
栗山憲,佐野慎太郎,古市茂
研究集会 「応用函数解析としての情報数理の研究」, 2005, Not invited

Tsallisのrelative entropyとrelative operator entropy
柳研二郎,古市茂,栗山憲
研究集会「応用函数解析としての情報数理の研究」, 2005, Not invited

非加法的相対エントロピーの性質と応用について
古市茂,柳研二郎,栗山憲
日本数学会2005年度年会, 2005, Not invited

Theorems on Tsallis entropies –in information theory, entropy theory and operator theory-
古市茂
国際高等研究所研究集会,『量子情報の数理』, 2005, Not invited

Theorems on Tsallis relative entropy
古市茂
第３回シャノン理論ワークショップ, 2005, Not invited

Generalized skew information と不確定性関係について
柳研二郎,古市茂,栗山憲
日本数学会2005年度 秋季総合分科会, 2005, Not invited

Tsallis entropy に関する作用素不等式とトレース不等式
古市茂,柳研二郎,栗山憲
研究集会「線形作用素と応用に関する最近の発展」, 2005, Not invited

非加法的情報理論の展開
古市茂
平成17年度産学公技術交流会in山口, 2005, Not invited

generalized skew information に関連したuncertainty relation
柳研二郎,古市茂,栗山憲
梅垣壽春先生傘寿記念シンポジウム「応用函数解析シンポジウム－情報科学と関連する話題－」, 2005, Not invited

一般化 Fannes の不等式について
柳研二郎,古市茂,栗山憲
実解析学シンポジウム2005, 2005, Not invited

非加法的エントロピーの情報理論的性質
古市茂
第9回環瀬戸内応用数理研究部会シンポジウム, 2005, Not invited

古典－量子通信路における量子信頼性関数の補助関数の凹性
柳研二郎,古市茂,栗山憲
第28回情報理論とその応用学会シンポジウム, 2005, Not invited

A generalized Faddeev's axiom and the uniqueness theorem for Tsallis entropy
古市茂
第28回情報理論とその応用学会シンポジウム, 2005, Not invited

Squeezing of quantum capacity for amplifier processes
S.Furuichi; K.Yamane and M.Ohya
Fourth World Congress of Nonlinear Analysts (WCNA2004), 2004, Not invited

On some generalized results by q-product in probability theory
S.Furuichi
Fourth World Congress of Nonlinear Analysts (WCNA2004), 2004, Not invited

On matrix inequalities in quantum information theory
S.Furuichi; K.Yanagi and K.Kuriyama
11th Conference of the International Linear Algebra Society(ILAS2004), 2004, Not invited

On a Precise Estimation of the Computational Complexity in Shor's Factoring Algorithm
K.Kuriyama; S.Sano and S.Furuichi
ERATO Workshop Quantum Information Science 2004, 2004, Not invited

Generalized relative entropy and its application in quantum information theory
S.Furuichi
Third International Conference on INFORMATION, 2004, Not invited

Tsallis relative operator entropyについて
柳研二郎,古市茂,栗山憲
日本数学会2004年度秋季総合分科会, 2004, Not invited

Tsallis relative entropy の基本的性質について
古市茂,柳研二郎,栗山憲
2004実解析学シンポジウム, 2004, Not invited

Tsallis relative operator entropyの性質について
柳研二郎,古市茂,栗山憲
第27回情報理論とその応用シンポジウム, 2004, Not invited

Remarks on Concavity of the Auxiliary Function Appearing in Quantum Reliability Function
K.Yanagi S.Furuichi and K.Kuriyama
2003 IEEE International Symposium on Information Theory, 2003, Not invited

A numerical example both of the optimal decision rule in the quantum channel coding and the concavity of the function appearing in quantum reliability function
S.Furuichi and K.Yamane
XIV International Congress on Mathematical Physics(ICMP2003), 2003, Not invited

A trace inequality related relative entropy operator and its application to quantum information theory
S.Furuichi
Von Neumann seminar, in the Department for Mathematical Analysis, Budapest University of Technology and Economics, 2003, Not invited

*-代数上の汎函数の一般不確定性関係への応用
栗山憲,古市茂,柳研二郎
研究集会「情報科学としての函数解析とその周辺」, 2003, Not invited

古典―量子通信路における信頼性関数に現れる補助関数の凹性について
柳研二郎,古市茂,栗山憲
日本数学会2003年度年会, 2003, Not invited

アマチュア3段の実戦に基づいたパターン認識を用いない囲碁アルゴリズムについて
竹村和弘,高田寛之,古市茂
情報処理学会第65回全国大会, 2003, Not invited

偏りの大きい画像に対する可逆圧縮法についての提案
井上啓,黒塚豊,古市茂
情報処理学会第65回全国大会, 2003, Not invited

CG画像の特徴を考慮した可逆画像圧縮法について
井上啓,黒塚豊,古市茂
環瀬戸内応用数理研究部会 第7回 シンポジウム, 2003, Not invited

量子情報理論に現れるある不等式について
柳研二郎,古市茂,栗山憲
2003実解析学シンポジウム, 2003, Not invited

A remark on concavity of the function appearing in quantum reliability function
K.Yanagi S.Furuichi and K.Kuriyama
ERATO Workshop Quantum Information Science 2002, 2002, Not invited

*-代数上の正値線形汎関数と一般化された不確定性関係
栗山憲,古市茂,柳研二郎
日本数学会2002年年会, 2002, Not invited

量子信頼性関数に現れる補助関数の性質について
古市茂,柳研二郎,栗山憲
第六回環瀬戸内応用数理研究部会シンポジウム, 2002, Not invited

The number of Weierstrass points on certain cyclic branched coverings of the projective line
川崎真澄,古市茂
第六回環瀬戸内応用数理研究部会シンポジウム, 2002, Not invited

量子符号化定理とその周辺
古市茂
第4回「情報力学とその応用」研究会, 2002, Not invited

古典-量子通信路における信頼性関数の一考察
柳研二郎,古市茂,栗山憲
日本数学会2002年度秋季総合分科会, 2002, Not invited

古典-量子通信路における量子信頼性関数の補助関数の性質
柳研二郎,古市茂,栗山憲
第25回情報理論とその応用シンポジウム, 2002, Not invited

量子信頼性函数の補助函数の性質
柳研二郎,古市茂,栗山憲
研究集会「情報科学としての函数解析とその周辺」, 2002, Not invited

Sesquilinear forms induced by a positive linear form on a *-algebra and its application to generalized uncertainty relations
K.Kuriyama K.Yanagi and S.Furuichi
The 9th International conference on finite and infinite dimensional complex analysis and applications, 2001, Not invited

スクイズド状態による量子状態の制御について
古市茂
電子情報通信学会2001年総合大会, 2001, Not invited

Squeezing of von Neumann mutual entropy and entanglement
S.Furuichi
Fifth International Conference on Quantum Communication Measurement & Computing 2000, 2000, Not invited

Quantum capacity for amplifier process
S.Furuichi
The Third World Congress of Nonlinear Analysts (WCNA-2000), 2000, Not invited

Quantum entanglement degree in Jaynes-Cummings model
S.Furuichi
第38回実函数論・函数解析学合同シンポジウム, 2000, Not invited

Entanglement degree in the time development of the Jaynes-Cummings Model
S.Furuichi
電子情報通信学会2000年総合大会, 2000, Not invited

Application of matrices generated by rank one matrices in mathematical science III
K.Oshima and S.Furuichi
第四回環瀬戸内応用数理研究部会シンポジウム, 2000, Not invited

Entanglement degree for Jaynes-Cummings model
S.Furuichi
International Conference on"Infinite Dimensional Analysis and Quantum Probability", 1999, Not invited

Application of matrices generated by rank one matrices in mathematical sciences Ⅱ
K.Oshima; I.Hofuku and S.Furuichi
第3回環瀬戸内応用数理研究部会シンポジウム, 1999, Not invited

Entanglement measure due to quasi-mutual entropy and its application to open quantum system model
S.Furuichi; M.Ohya and K.Oshima
第3回環瀬戸内応用数理研究部会シンポジウム, 1999, Not invited

The method of generating the range of forecast for final cumulative number of bugs
I.Hofuku; K.Oshima; M.Ohya and S.Furuichi
第3回環瀬戸内応用数理研究部会シンポジウム, 1999, Not invited

Computation of quantum mutual entropy for Jaynes-Cummings model
S.Furuichi and M.Ohya
The 30th Symposium on Mathematical Physics, 1998, Not invited

Lifting Theory and its application to quantum amplifier processes
S.Furuichi; K. Oshima and I. Hofuku
The Seventh International Colloquium on Numerical Analysis and Computer Science with Applications, 1998, Not invited

A new algorithm of curve fitting for non decreasing discrete data
I. Hofuku; K. Oshima M.Ohya and S.Furuichi
The Seventh International Colloquium on Numerical Analysis and Computer Science with Applications, 1998, Not invited

Application of Matrices Generated by Rank One Matrices in Mathematical Science
The Seventh International Colloquium on Numerical Analysis and Computer Science with Applications, 1998, Not invited

連続的なウエイト関数を適用したランキング法
三橋龍太,古市茂,大島邦夫
第２回環瀬戸内応用数理研究部会シンポジウム, 1998, Not invited

応用上頻繁に現れる行列について
大島邦夫,古市茂
第２回環瀬戸内応用数理研究部会シンポジウム, 1998, Not invited

量子通信路容量による量子通信過程の解析
古市茂,大島邦夫
第２回環瀬戸内応用数理研究部会シンポジウム, 1998, Not invited

Jaynes-Cummingsモデルの量子力学的チャネルとその性質
古市茂
研究会「統計物理の展望」, 1998, Not invited

大学内におけるＰＣコンサルティングセンターの運営および役割について
水倉正俊,古市茂,大島邦夫
教育システム情報学会第２３回全国大会, 1998, Not invited

Ｃ言語教育用プログラミング支援システムとその統計的評価
大島邦夫,古市茂,平澤京子
教育システム情報学会第２３回全国大会, 1998, Not invited

固有値の内包定理とその応用について
大島邦夫,保福一郎,古市茂
日本応用数理学会, 1998, Not invited

非減少データにおける予測幅の検証について
保福一郎,大島邦夫,古市茂
日本応用数理学会, 1998, Not invited

スクイズド状態による通信効率の量子制御について
古市茂,大島邦夫,大矢雅則
日本応用数理学会, 1998, Not invited

量子増幅過程の量子相互エントロピーによる解析
大矢雅則,須鎗弘樹,古市茂
研究会「量子確率論とエントロピー解析」, 1997, Not invited

関数乗算型Newton-Raphson法におけるカオス現象の考察
大島邦夫,大矢雅則,浜田玲,古市茂,保福一郎
日本応用数理学会, 1997, Not invited

非減少データにおける関数近似法について
保福一郎,大島邦夫,古市茂
日本応用数理学会, 1997, Not invited

順位決定のプロセスの概要について
大島邦夫,保福一郎,古市茂
日本応用数理学会, 1997, Not invited

Jaynes-Cummings modelに対するエントロピー及び相互エントロピーの計算
古市茂
研究会「量子確率論とエントロピー解析」, 1997, Not invited

Mutual Entropy for Quantum Amplifier Processes
M.Ohya; H.Suyari and S.Furuichi
Third International Conference on Quantum Communication and Measurment, 1996, Not invited

スクイズド真空状態の量子通信過程への応用
大矢雅則,須鎗弘樹,古市茂
電子情報通信学会情報理論研究会, 1996, Not invited

Apr. 2005 - Present
日本数学会

Jan. 1998 - Present
IEEE(Information Theory Society)

Apr. 2012 - Apr. 2013
The Mathematical Association of America

Apr. 2005 - Dec. 2010
情報理論とその応用学会

Jan. 2004 - Dec. 2005
SIAM

Oct. 1997 - May 2005
電子情報通信学会

Apr. 1997 - Feb. 2000
日本応用数理学会

Analytical study of inequalities in information theory and operator theory
文部科学省, 科学研究費, Apr. 2021 - Mar. 2026
古市 茂

Analytical and fundamental study on entropy, graph and inequalities
日本大学文理学部, 総合研究費, Apr. 2020 - Mar. 2022

Fundamental study on entropy and inequality in information science
文部科学省, 科学研究費, Apr. 2016 - Mar. 2021

作用素平均と相対作用素エントロピーに関する基礎研究とその応用
日本大学文理学部, 共同研究費, Apr. 2018 - Mar. 2019

Research on Inequalities related to several kinds of entropies in classical or quantum system
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 01 Apr. 2014 - 31 Mar. 2018
Yanagi Kenjiro; Furuichi Shigeru; Kuriyama Ken

量子エントロピーの基礎数理とその情報科学への応用
文部科学省, 科学研究費, Apr. 2012 - Mar. 2016

確率的エントロピーの基礎数理とその応用
日本大学文理学部, 総合研究, Apr. 2012 - Mar. 2014

Research on inequalities related to several entropies in classical or quantum system
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 2011 - 2013
YANAGI KENJIRO

量子情報科学における エントロピー及び情報量に関する基礎研究
文部科学省, 科学研究費, Apr. 2008 - Mar. 2012

函数解析学による一般化エントロピーの新展開
京都大学数理解析研究所共同利用掛・研究集会, 2012 - 2012

International Workshop on Anomalous Statistics, Generalized Entropies, and Information Geometry
自然研究所シンポジウム・研究集会助成金, 2011 - 2011

一般化エントロピーの数理による,ベキ分布にしたがうデータの情報生成構造の解明
文部科学省, 科学研究費, Apr. 2007 - Mar. 2010

Research on inequalities related to classical or quantum entropy
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 2008 - 2010
YANAGI Kenjiro; KIKUMASA Isao; KASHIWAGI Yoshimi; MAKINO Tetsu; YANAGIHARA Hiroshi; FURUICHI Shigeru; KURIYAMA Ken

古典系及び量子系における サリスエントロピーを基礎とした非加法的情報理論の構築
文部科学省, 科学研究費, Apr. 2005 - Mar. 2008

量子テレポーテーションを含む量子チャネルの分類と量子ゲートの定式化に関する研究
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, Apr. 2002 - Mar. 2006
WATANABE Noboru; OHYA Masanori; FURUICHI Shigeru; SATO Keiko; MIYADERA Takayuki; IRIYAMA Satoshi

量子タイプ理論の 構成とその量子ユニバーサル符号化定理への応用
文部科学省, 科学研究費, Apr. 2002 - Mar. 2005

リフティングの量子情報理論への応用
文部科学省, 科学研究費, Apr. 1999 - Mar. 2000
古市 茂

Editorial board on Canadian Transaction of Functional Analysis
editor
08 May 2025 - Present

2025年度実函数論・函数解析学合同シンポジウム委員「量⼦数理と作⽤素グループ」
organizing_member
日本数学会・分科会「実函数論」および「函数解析学」, 11 Jan. 2025 - Present

Editorial board on Communications in Calculus Analysis, Special Functions and Mathematical Physics
editor
Sciendo, 28 Jul. 2024 - Present

Editorial board on Journal of Mathematical Inequalities
editor
Element d.o.o., Journal of Mathematical Inequalities, May 2024 - Present

Associate editor in Alexandria Engineering Journal (AEJ)
editor
Elsevier B.V., 01 Oct. 2023 - Present

Editorial board on Quantum Information Review
editor
Natural Sciences Publishing, Jan. 2013 - Present

Editorial board on Quantum Physics Letters
editor
Natural Sciences Publishing, Apr. 2012 - Present

Editorial board on Applied Mathematics & Information Sciences
editor
Natural Sciences Publishing, Jan. 2007 - Present

Scientific Committee Members in ICMIA2025
organizing_member
Mathematics and computer science Faculty, Batna 2 University, The First International Conference on Mathematics and its Innovative Applications, 19 Jul. 2025 - 25 Nov. 2025

Chairman in the session of 9th Linear Algebra Workshop
presenter
06 Jun. 2025 - 06 Jun. 2025

Guest editor of Special Issue "Types of Entropies and Divergences with Their Applications II” in Entropy.
chief
MDPI Entropy, 01 Jun. 2024 - 28 Feb. 2025

国際会議ICMAACS2024のScientific Committee
advisor
06 Dec. 2024 - 08 Dec. 2024

国際会議ICMAACS2023のScientific Committee
organizing_member
22 Nov. 2023 - 26 Nov. 2023

国際会議iciam2023におけるmini-symposiumのorganizer
planner
20 Aug. 2023 - 25 Aug. 2023

Joint guest editor of Special Issue "Symmetry in the Mathematical Inequalities II” in Symmetry.
others
MDPI, Symmetry, 01 Mar. 2022 - 31 Jan. 2023

Joint guest editor of Special Issue "Types of Entropies and Divergences with Their Applications” in Entropy.
others
MDPI, Entropy, 01 Apr. 2021 - 31 Dec. 2021

Guest editor of Special Issue "Types of Entropies and Divergences with Their Applications” in Entropy.
others
MDPI, Entropy, 01 Apr. 2021 - 31 Dec. 2021

Guest editor in chief of Special Issue "Inequalities 2020" in Mathematics.
others
MDPI, Mathematics, 01 Nov. 2019 - 31 Dec. 2020

Joint guest editor on,Computational Statistics Methods in Information Sciences and Engineering
editor
15 Sep. 2019 - 31 Dec. 2020

Guest editor in chief of Special Issue "Inequalities" in Mathematics.
others
MDPI, Mathematics, 01 Oct. 2018 - 15 Jan. 2020

Joint guest editor onComputational Statistics Methods in Information Sciences and Engineering
editor
15 Sep. 2019

ORGANIZING COMMITTEE of The Ninth International Conference on Information 2018
organizing_member
International Information Institute, Hotel Arcadia, Tokyo, Japan, 07 Dec. 2018 - 09 Dec. 2018

ORGANIZING COMMITTEE of The Eighth International Conference on Information 2017
organizing_member
International Information Institute, Hotel Arcadia, Tokyo, Japan, 17 May 2017 - 19 May 2017

Joint guest editor onComputational Statistics Methods in Information Sciences and Engineering
15 Sep. 2019, Paper

Trace inequalities and Tsallis relative entropy
Jun. 2025 - Jun. 2025

相対エントロピーと行列トレース不等式
Dec. 2024 - Dec. 2024

一般化エントロピーとトレース不等式
Sep. 2024 - Sep. 2024

Trace inequalities for the generalized relative entropies
Jun. 2024 - Jun. 2024

Spectral geometric mean, geometric mean, and Kantorovich constant
Jun. 2023 - Jun. 2023