修士（工学）, 大阪大学, Mar. 2000

博士（理学）, 大阪大学, Mar. 2003

best constant

Sobolev inequality

Green function

Reproducing kernel

Natural sciences, Basic analysis, Basic Analysis

Apr. 2022 - Present
日本大学, 理工学部, 教授

Apr. 2014 - Mar. 2022
日本大学, 理工学部, 准教授

Sep. 2016 - Mar. 2017
日本大学, 生産工学部, 兼担講師

Sep. 2015 - Mar. 2016
日本大学, 生産工学部, 兼担講師

Sep. 2014 - Mar. 2015
日本大学, 生産工学部, 兼担講師

Apr. 2007 - Mar. 2014
日本大学, 生産工学部, 助教

Apr. 2003 - Mar. 2007
東京工科大学, メディア学部, 助手

31 Mar. 2003
Osaka University, Graduate School, Division of Engineering Science, Department of Information and Computer sciences

Mar. 2003
Osaka University, Graduate School, Division of Engineering Science, Department of Information and Computer sciences

Apr. 2017 - Mar. 2018
学会誌編集委員, 日本応用数理学会

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。

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

The best constant of Sobolev inequality : From continuous to discrete (Applications of Reproducing Kernels)
Nagai Atsushi; Kametaka Yoshinori; Yamagishi Hiroyuki; Takemura Kazuo; Watanabe Kohtaro
RIMS Kokyuroku, Dec. 2008

基礎数学
小澤善隆; 永井敦; 藤田育嗣, Joint work, 68-96, 小澤善隆,永井敦,藤田育嗣
裳華房, Mar. 2011, Not refereed
9784785315566

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

日本数学会

応用数理学会

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