TAKEMURA KAZUO
Department of Liberal Arts and Science | Professor |
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- 日本応用数理学会, 論文賞(JSIAM Letters部門)
★The best constant of discrete Sobolev inequality on 1812 C60 fullerene isomers, Japan society
Yoshinori Kametaka;Kohtaro Watanabe;Atsushi Nagai;Kazuo Takemura;Hiroyuki Yamagishi;Hiroto Sekido
C60フラーレンの異性体(1812個)に対応する離散ソボレフ不等式の最良定数を求めました。本論文では,各辺に線形バネを備えたこれら異性体の古典的な機械モデルを研究対象としており,得られた最良定数はこれらのモデルの剛性を表しています。また,1812個の異性体の最良定数は有理数であり,これらの中で,バッキーボール(または切頂二十面体)の最良定数が最小であることが示されました。すなわち,バッキーボールは1812個のC60フラーレン異性体の中で最も硬いものであることが,離散ソボレフ不等式の最良定数から証明されました。
Paper
- POSITIVITY AND HIERARCHICAL STRUCTURE OF FOUR GREEN FUNCTIONS CORRESPONDING TO A BENDING PROBLEM OF A BEAM ON A HALF LINE
Yoshinori KAMETAKA; Kohtaro WATANABE; Atsushi NAGAI; Kazuo TAKEMURA and Hiroyuki YAMAGISHI
Mathematical Journal of Okayama University, Jan. 2023, Refereed - SOBOLEV INEQUALITY FOR DEFLECTION PROBLEM OF A STRING WITH NONLOCAL PERIODIC BOUNDARY CONDITIONS
Kazuo Takemura; Atsushi Nagai and Yoshinori Kametaka
Far East Journal of Mathematical Sciences (FJMS), Feb. 2022, Refereed
Lead - The best constant of discrete Sobolev inequality on 1812 C60 fullerene isomers
Yoshinori Kametaka; Kohtaro Watanabe; Atsushi Nagai; Kazuo Takemura; Hiroyuki Yamagishi; Hiroto Sekido
Japan Society for Industrial and Applied Mathematics, Jul. 2020, Refereed, Not invited - Evaluation of the One-Dimensional Lp Sobolev Type Inequality
Kazuo Takemura and Yoshinori Kametaka
Mathematics, Feb. 2020, Refereed, Not invited
Lead - Sharp Constants of Discrete Sobolev Inequalities on a Cyclic Rectangular Lattice
Kazuo Takemura and Yoshinori Kametaka
Far East Journal of Mathematical Sciences (FJMS), Mar. 2019, Refereed, Not invited
Lead - A hierarchical structure for the sharp constants of discrete Sobolev inequalities on a weighted complete graph
Kazuo Takemura; Yoshinori Kametaka; Atsushi Nagai
Symmetry, Jan. 2018, Refereed, Not invited - Two types of discrete Sobolev inequalities on a weighted Toeplitz graph
Kazuo Takemura; Atsushi Nagai; Yoshinori Kametaka
LINEAR ALGEBRA AND ITS APPLICATIONS, Oct. 2016, Refereed, Not invited - 切頂正4,6,8面体上の離散ソボレフ不等式の最良定数
亀高惟倫,山岸弘幸,永井敦,渡辺宏太郎,武村一雄
日本応用数理学会論文誌, Sep. 2015, Refereed, Not invited - The Best Constant of Discrete Sobolev Inequality on the C60 Fullerene Buckyball
Yoshinori Kametaka; Atsushi Nagai; Hiroyuki Yamagishi; Kazuo Takemura; Kohtaro Watanabe
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, Jul. 2015, Refereed, Not invited - Sobolev inequality of free boundary value problem for (-1)(M)(d/dx)(2M)
Kazuo Takemura; Atsushi Nagai; Yoshinori Kametaka; Kohtaro Watanabe; Hiroyuki Yamagishi
JOURNAL OF INEQUALITIES AND APPLICATIONS, Feb. 2015, Refereed, Not invited - メビウスの梯子上の離散ソボレフ不等式の最良定数
武村 一雄
日本大学生産工学部研究報告A(理工系), Jun. 2014, Refereed, Not invited
Lead - The Best Constants of Discrete Sobolev Inequalities on Mobius Ladder
K. Takemura
Far East Journal of Mathematical Sciences, Apr. 2014, Refereed, Not invited
Lead - The best estimation corresponding to continuous model of Thomson cable
H. Yamagishi; Y. Kametaka; A. Nagai; K. Watanabe and K. Takemura
JSIAM Letters, Aug. 2013, Refereed, Not invited - The Best Constant of Three Kinds of Discrete Sobolev Inequalies on Regular Polyhedron
H. Yamagishi; Y. Kametaka; K. Watanabe; A. Nagai and K. Takemura
Tokyo Journal of Mathematics, Jun. 2013, Refereed, Not invited - Positivity and Hierarchical Structure of 16 Green Functions Corresponding to a Bending Problem of a Beam
Y. Kametaka; K. Takemura; H. Yamagishi; A. Nagai and K. Watanabe
Saitama Mathematical Journal, Feb. 2013, Refereed, Not invited - Complete low-cut filter and the best constant of Sobolev inequality
H. Yamagishi; Y. Kametaka; A. Nagai; K. Watanabe and K. Takemura
JSIAM Letters, Jan. 2013, Refereed, Not invited - Elliptic theta function and the best constants of Sobolev type inequalities
H. Yamagishi; Y. Kametaka; A. Nagai; K. Watanabe and K. Takemura
JSIAM Letters, Apr. 2012, Refereed, Not invited - The best constant of discrete Sobolev inequality corresponding to a bending problem of a string
H. Yamagishi; A. Nagai; K. Watanabe; K. Takemura and Y. Kametaka
Kumamoto Journal of Mathematics, Apr. 2012, Refereed, Not invited - Sobolev type inequalities of time-periodic boundary value problems for Heaviside and Thomson cables
Kazuo Takemura; Yoshinori Kametaka; Kohtaro Watanabe; Atsushi Nagai; Hiroyuki Yamagishi
BOUNDARY VALUE PROBLEMS, 2012, Refereed, Not invited - Lyapunov-type inequalities for 2Mth order equations under clamped-free boundary conditions
Kohtaro Watanabe; Kazuo Takemura; Yoshinori Kametaka; Atsushi Nagai; Hiroyuki Yamagishi
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012, Refereed, Not invited - 正多面体上の離散ソボレフ不等式の最良定数
亀高 惟倫,渡辺 宏太郎,山岸 弘幸,永井 敦,武村 一雄
日本応用数理学会論文誌, Dec. 2011, Refereed, Not invited - The best constants of Sobolev and Kolmogorov type inequalities on a half line
K. Watanabe; Y. Kametaka; A. Nagai; K. Takemura and H. Yamagishi
Far East Journal of Applied Mathematics, Mar. 2011, Refereed, Not invited - The best constant of Sobolev inequality corresponding to clamped boundary value problem
K. Watanabe; Y. Kametaka; H. Yamagishi; A. Nagai and K. Takemura
Boundary Value Problems, Feb. 2011, Refereed, Not invited - The best constant of Sobolev inequality corresponding to a bending problem of a beam on a half line
K. Takemura; Y. Kametaka; K. Watanabe; A. Nagai and H. Yamagishi
Far East Journal of Applied Mathematics, Feb. 2011, Refereed, Not invited
Lead - The best constant of Sobolev inequality corresponding to clamped boundary value problem
K. Watanabe; Y. Kametaka; H. Yamagishi; A. Nagai and K. Takemura
Boundary Value Problems, Feb. 2011, Refereed, Not invited - The best constant of Sobolev inequality corresponding to a bending problem of a beam on an interval
K. Takemura; H. Yamagishi; Y. Kametaka; K. Watanabe and A. Nagai
Tsukuba Journal of Mathematics, Jan. 2010, Refereed, Not invited
Lead - Giambelli's formula and the best cosntant of Sobolev inequality in one dimensional euclidean space
Y. Kametaka; A. Nagai; K. Watanabe; K. Takemura and H. Yamagishi
Scientiae Mathematicae Japonicae, 2010, Refereed, Not invited - 弾性基盤上の張力をかけた棒のたわみ問題の2点境界値問題と対応するソボレフ不等式の最良定数
山岸 弘幸,亀高 惟倫,武村 一雄,渡辺 宏太郎,永井 敦
日本応用数理学会論文誌, Dec. 2009, Refereed, Not invited - Riemann zeta function and the best constant of five series of Sobolev inequalities
H. Yamagishi; Y. Kametaka; A. Nagai and K. Watanabe and K. Takemura
RIMS Kokyuroku Bessatsu, 2009, Refereed, Not invited - Symmetrization of Functions and the Best Constant of 1-DIM L-p Sobolev Inequality
Kohtaro Watanabe; Yoshinori Kametaka; Atsushi Nagai; Hiroyuki Yamagishi; Kazuo Takemura
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2009, Refereed, Not invited - The best constant of Sobolev inequality which corresponds to Schrodinger operator with Dirac delta potential
Y. Kametaka; H. Yamagishi; K. Watanabe; A. Nagai; K. Takemura and M. Arai
Scientiae Mathematicae Japonicae, 2009, Not refereed, Not invited - (-1)^M (d/dx)^(2M)に対する両端自由端条件境界値問題と対応するソボレフ不等式の最良定数
武村 一雄,永井 敦,亀高 惟倫,渡辺 宏太郎,山岸 弘幸
日本応用数理学会論文誌, Mar. 2008, Refereed, Not invited
Lead - リーマンゼータ関数と3系列のソボレフ不等式の最良定数
亀高 惟倫,山岸 弘幸,渡辺 宏太郎,永井 敦,武村 一雄
日本応用数理学会論文誌, Mar. 2008, Refereed, Not invited - The best constant of Sobolev inequality on a bounded interval
K. Watanabe; Y. Kametaka; A. Nagai; K. Takemura; H. Yamagishi
Journal of Mathematical Analysis and Applications, 2008, Refereed, Not invited - Discrete Bernoulli polynomials and the best constant of discrete Sobolev inequality
A. Nagai; Y. Kametaka; H. Yamagishi; K. Takemura and K. Watanabe
Funkcialaj Ekvacioj, 2008, Refereed, Not invited - The best constant of Sobolev inequality corresponding to Dirichlet boundary value problem for (-1)^M (d/dx)^(2M)
Y. Kametaka; H. Yamagishi; K. Watanabe; A. Nagai and K. Takemura
Science Mathematicae Japonicae, 2008, Not refereed, Not invited - Positivity and hierarchical structure of Green functions for bending of a beam: boundary value problems with boundary conditions of not simple type
K. Takemura; Y. Kametaka; A. Nagai and N. D. Kopachevsky
Far East Journal of Mathematical Sciences(2007), May 2007, Refereed, Not invited
Lead - The best constant of Sobolev inequality which corresponds to a bending problem of a string with periodic boundary condition
Y. Kametaka; K. Watanabe; A. Nagai; H. Yamagishi and K. Takemura
Scientiae Mathematicae Japonicae, May 2007, Refereed, Not invited - Green function for boundary value problem of 2M-th order linear ordinary differential equations with free boundary condition
A. Nagai; K. Takemura; Y. Kametaka; K. Watanabe and H. Yamagishi
Far East Journal of Applied Mathematics, Mar. 2007, Refereed, Not invited - Riemann zeta function, Bernoulli polynomials and the best constant of Sobolev inequality
Y. Kametaka; H. Yamagishi; K. Watanabe; A. Nagai and K. Takemura
Scientiae Mathematicae Japonicae Online, e-2007, Jan. 2007, Refereed, Not invited - Heaviside cable, Thomson cable and the best constant of a Sobolev-type inequality
Y. Kametaka; K. Takemura; H. Yamagishi; A. Nagai and K. Watanabe
Scientiae Mathematicae Japonicae Online, 2007, Refereed, Not invited - The best constant of L^p Sobolev inequality correspoinding to the periodic boundary value problem for (-1)^M (d/dx)^(2M)
Y. Kametaka; Y. Oshime; K. Watanabe; H. Yamagishi; A. Nagai and K. Takemura
Scientiae Mathematicae Japonicae, 2007, Refereed, Not invited - Two-point Simple-type Self-adjoint Boundary Value Problems for Bending a Beam – Dependency of Green Functions on an Interval Length
K. Takemura; Y. Kametaka and A. Nagai
Japan Journal of Industrial and Applied Mathematics(2004), Oct. 2004, Refereed, Not invited
Lead - Positivity and Hierarchical Structure of Green’s Functions of 2-Point Boundary Value Problems for Bending of a Beam
Y. Kametaka; K. Takemura; Y. Suzuki and A. Nagai
Japan Journal of Industrial and Applied Mathematics, Jun. 2001, Refereed, Not invited
MISC
Books and other publications
Lectures, oral presentations, etc.
- $(-1)^M(d/dx)^{2M}$に対する両端固定条件の境界値問題におけるグリーン関数の正値性
武村一雄; 永井敦; 關戸啓人
日本数学会, Sep. 2024, Not invited - C60の異性体1812個に対応する離散ソボレフ不等式の最良定数
亀高惟倫; 渡邉宏太郎; 永井敦; 武村一雄; 山岸弘幸; 關戸啓人
日本数学会, Sep. 2024, Not invited - 第61回実函数論・函数解析学合同シンポジウムの開催
第61回実函数論・函数解析学合同シンポジウム - 重み付きテプリッツグラフ上の離散ソボレフ不等式
武村一雄
平成27年度(第59回)日本大学理工学部学術講演会, Dec. 2015, Not invited - 重み付きd-有限正則グラフ上の離散ソボレフ不等式の最良定数
武村一雄
日本数学会, Mar. 2014, Not invited - The best constant of Sobolev inequality for a discrete Laplacian on Mobius ladder
INTERNATIONAL CONGRESS ON MATHEMATICAL PHYSICS ICMP12, Aug. 2012, Not invited - The best constant of a Sobolev-type inequality which corresponds to Heaviside and Thomson cable with periodic boundary condition
Y. Kametaka; A. Nagai; H. Yamagishi and K. Watanabe
Equadiff 2011, Aug. 2011, Not invited - The best constant of Sobolev inequality corresponding to clamped-free boundary value problem for (-1)^M(d/dx)^(2M)
Czech-Japanese Seminar in Applied Mathematics, Sep. 2010, Not invited - Free boundary value problem for (-1)^M(d/dx)^(2M) and the best constant of Sobolev inequality
7th International ISAAC Congress, Jul. 2009, Not invited - 弾性基盤上の張力をかけた棒のたわみの2点境界値問題のグリーン関数の階層構造
亀高惟倫
日本数学会,東京大学, Mar. 2009, Not invited - 弾性基盤上の張力をかけた棒のたわみの2点境界値問題と対応するソボレフ不等式の最良定数2
山岸弘幸
日本数学会,東京大学, Mar. 2009, Not invited - $(-1)^M (d/dx)^{2M}$ に対する固定端自由端条件境界値問題と対応するソボレフ不等式の最良定数
日本数学会,東京大学, Mar. 2009, Not invited - 弾性基盤上の張力をかけた棒のたわみ問題の2点境界値問題と対応するソボレフ不等式の最良定数
山岸弘幸
日本数学会,東京工業大学, Sep. 2008 - 棒のたわみ問題の2点境界値問題と対応するソボレフ不等式の最良定数
武村一雄
日本数学会,東京工業大学, Sep. 2008, Not invited - 弾性基盤上の張力をかけた棒のたわみの2点境界値問題と対応するソボレフ不等式の最良定数
山岸弘幸
日本数学会,東京工業大学, Sep. 2008 - The best constant of Sobolev inequality corresponding to the free boundary value problem
4-th International Conference Mathematical Ideas of P. L. Chebyshev and Their Application for Modern Problems of Natural Sciences, Russia, May 2008, Not invited - ギャンベリの公式と1次元ソボレフ不等式の最良定数
亀高 惟倫
日本数学会年会,近畿大学, Mar. 2008, Not invited - 弾性基盤上の張力をかけた棒のたわみの2点境界値問題と対応するソボレフ不等式の最良定数
山岸弘幸
日本数学会,東京工業大学, Mar. 2008, Not invited - トムソンケーブルとRCフィルターの出力電圧の最良評価
武村一雄
第40回日本大学生産工学部学術講演会, Dec. 2007, Not invited - ディラックデルタポテンシャルをもつシュレディンガー方程式と対応するソボレフ不等式の最良定数
亀高 惟倫
日本数学会秋季総合分科会,東北大学, Sep. 2007, Not invited - トムソンケーブルとRCフィルターの出力電圧の最良評価
亀高 惟倫
日本数学会秋季総合分科会,東北大学, Sep. 2007, Not invited - $(-1)^M (d/dx)^{2M}$に対する両端自由端条件境界値問題と対応するソボレフ不等式の最良定数
武村一雄
日本数学会年会,埼玉大学, Mar. 2007, Not invited - $(-1)^M (d/dx)^{2M}$に対する周期境界条件境界値問題と対応するL^pソボレフ不等式の最良定数
亀高惟倫
日本数学会年会,埼玉大学, Mar. 2007, Not invited - $(-1)^M (d/dx)^{2M}$に対する両端ノイマン条件境界値問題と対応するソボレフ不等式の最良定数
亀高惟倫
日本数学会年会,埼玉大学, Mar. 2007, Not invited - $(-1)^M (d/dx)^{2M}$に対する両端自由端条件境界値問題のグリーン関数
永井敦
日本数学会年会,埼玉大学, Mar. 2007, Not invited - $(-1)^M (d/dx)^{2M}$に対する両端固定端条件境界値問題と対応するソボレフ不等式の最良定数
渡辺宏太郎
日本数学会年会,埼玉大学, Mar. 2007, Not invited - $(-1)^M (d/dx)^{2M}$ に対する両端ディリクレ条件境界値問題と対応するソボレフ不等式の最良定数
亀高惟倫
日本数学会年会,埼玉大学, Mar. 2007, Not invited - 1次元有界区間におけるSobolev不等式の最良定数
渡辺宏太郎
日本数学会秋季総合分科会,大阪市立大学, Sep. 2006, Not invited - Discrete Bernoulli polynomials and the best constant of discrete Sobolev inequality
A. Nagai
Symmetries and Integrability of Difference Equations, Jul. 2006, Not invited - A bending problem of a bar and the best constant of Sobolev inequality
K. Takemura
Third International Conference on Complex Analysis & Dynamical Systems, Israel, Jan. 2006, Not invited - 半直線におけるSobolev型不等式の最良定数について
武村一雄
日本数学会秋季総合分科会,岡山大学, Sep. 2005 - 1次元半空間におけるソボレフ不等式の最良定数,ある特殊な場合
武村一雄
日本数学会秋季総合分科会,岡山大学, Sep. 2005, Not invited - 離散ベルヌイ多項式と離散ソボレフ不等式の最良定数
永井敦
日本数学会秋季総合分科会,岡山大学, Sep. 2005, Not invited - The best constants of Sobolev inequality on a half line II
K. Takemura
International Workshop on Differential Equations and Dynamical Systems, Canada, Jul. 2005, Not invited - 棒のたわみ問題の2点複合形境界値問題に対するグリーン関数の正値性と階層構造
武村一雄
日本数学会秋季総合分科会,北海道大学, Sep. 2004, Not invited - 半空間におけるSobolev型不等式の最良定数について
亀高惟倫
日本数学会秋季総合分科会,北海道大学, Sep. 2004, Not invited - Dependency of Green’s functions on interval length to 2-point boundary value problems for bending of a beam
K. Takemura
Crimean Autumn Mathematical School-Symposium (KROMSH-2001), Ukraine, Sep. 2001, Not invited
Research Themes
- Best evaluation of Sobolev inequality using reproducing kernel and study of its application to science and engineering
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, Apr. 2023 - Mar. 2028
武村 一雄; 關戸 啓人; 永井 敦 - 再生核理論を用いたソボレフ不等式研究の工学的応用と新展開
2022 - 2023 - 再生核理論を用いたソボレフ不等式研究の深化と応用
2017 - 2021 - 再生核理論を用いたソボレフ不等式の最良評価とその応用
2013 - 2016 - 特殊関数論の視点に基づくソボレフ不等式の最良評価
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 2009 - 2012
TAKEMURA Kazuo; KAMETAKA Yoshinori; NAGAI Atsushi - 再生核理論の視点に基づく高階・非整数階微分方程式のグリーン関数の構造研究
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, 2005 - 2006
TAKEMURA Kazuo; KAMETAKA Yoshinori; NAGAI Atsushi