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Takemura Kazuo  武村 一雄

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… Alternative Names

武村 一雄  タケムラ カズオ

TAKEMURA Kazuo  武村 一雄

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Researcher Number 60367216
Other IDs
Affiliation (Current) 2025: 日本大学, 理工学部, 教授
Affiliation (based on the past Project Information) *help 2023: 日本大学, 理工学部, 教授
2014 – 2021: 日本大学, 理工学部, 准教授
2009 – 2013: Nihon University, 生産工学部, 助教
2005 – 2006: 東京工科大学, メディア学部, 助手
Review Section/Research Field
Principal Investigator
Foundations of mathematics/Applied mathematics / Basic Section 12040:Applied mathematics and statistics-related / Basic analysis / General mathematics (including Probability theory/Statistical mathematics)
Keywords
Principal Investigator
最良定数 / グリーン関数 / ソボレフ不等式 / 再生核 / グリーン行列 / 解析・評価 / 関数方程式論 / Ordinary differential equation / Best constant / Sobolev inequality … More / Reproducing kernel / Green function / 常微分方程式 / 微分方程式 Less
  • Research Projects

    (5 results)
  • Research Products

    (44 results)
  • Co-Researchers

    (6 People)
  •  Best evaluation of Sobolev inequality using reproducing kernel and study of its application to science and engineeringPrincipal Investigator

    • Principal Investigator
      武村 一雄
    • Project Period (FY)
      2023 – 2027
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12040:Applied mathematics and statistics-related
    • Research Institution
      Nihon University
  •  Deepening and application of Sobolev inequality studies using reproducing kernel theoryPrincipal Investigator

    • Principal Investigator
      TAKEMURA Kazuo
    • Project Period (FY)
      2017 – 2021
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Foundations of mathematics/Applied mathematics
    • Research Institution
      Nihon University
  •  Best evaluation of the Sobolev inequality using the reproducing kernel theory and its applicationsPrincipal Investigator

    • Principal Investigator
      TAKEMURA Kazuo
    • Project Period (FY)
      2013 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Foundations of mathematics/Applied mathematics
    • Research Institution
      Nihon University
  •  Best evaluation of Sobolev inequality based on the perspective of special function theoryPrincipal Investigator

    • Principal Investigator
      TAKEMURA Kazuo
    • Project Period (FY)
      2009 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Nihon University
  •  Study of Green function of higher order / fractional order differential equations from a viewpoint of a reproducing kernel theoryPrincipal Investigator

    • Principal Investigator
      TAKEMURA Kazuo
    • Project Period (FY)
      2005 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Tokyo University of Technology

All 2022 2020 2019 2017 2016 2015 2014 2013 2012 2011 2010 2009 2007 Other

All Journal Article Presentation

  • [Journal Article] SOBOLEV INEQUALITY FOR DEFLECTION PROBLEM OF A STRING WITH NONLOCAL PERIODIC BOUNDARY CONDITIONS2022

    • Author(s)
      Kazuo Takemura, Atsushi Nagai and Yoshinori Kametaka
    • Journal Title

      Far East Journal of Mathematical Sciences (FJMS)

      Volume: 134 Pages: 47-63

    • DOI

      10.17654/0972087122004

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-17K05374
  • [Journal Article] The best constant of discrete Sobolev inequality on 1812 C60 fullerene isomers2020

    • Author(s)
      Kametaka Yoshinori、Watanabe Kohtaro、Nagai Atsushi、Takemura Kazuo、Yamagishi Hiroyuki、Sekido Hiroto
    • Journal Title

      JSIAM Letters

      Volume: 12 Issue: 0 Pages: 49-52

    • DOI

      10.14495/jsiaml.12.49

    • NAID

      130007881802

    • ISSN
      1883-0609, 1883-0617
    • Language
      English
    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-17K05374, KAKENHI-PROJECT-18K03347, KAKENHI-PROJECT-18K03387
  • [Journal Article] Evaluation of the One-Dimensional Lp Sobolev Type Inequality2020

    • Author(s)
      Kazuo Takemura and Yoshinori Kametaka
    • Journal Title

      Mathematics

      Volume: 8 Issue: 2 Pages: 296-296

    • DOI

      10.3390/math8020296

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-17K05374
  • [Journal Article] Sharp Constants of Discrete Sobolev Inequalities on a Cyclic Rectangular Lattice2019

    • Author(s)
      Kazuo Takemura and Yoshinori Kametaka
    • Journal Title

      Far East Journal of Mathematical Sciences (FJMS)

      Volume: 112 Issue: 2 Pages: 175-194

    • DOI

      10.17654/ms112020175

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-17K05374
  • [Journal Article] A Hierarchical Structure for the Sharp Constants of Discrete Sobolev Inequalities on a Weighted Complete Graph2017

    • Author(s)
      Kazuo Takemura, Yoshinori Kametaka and Atsushi Nagai
    • Journal Title

      Symmetry

      Volume: 2017 Issue: 1 Pages: 1-1

    • DOI

      10.3390/sym10010001

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-25400146, KAKENHI-PROJECT-17K05374
  • [Journal Article] Two types of discrete Sobolev inequalities on a weighted Toeplitz graph2016

    • Author(s)
      Kazuo Takemura, Atsushi Nagai, Yoshinori Kametaka
    • Journal Title

      Linear Algebra and its Applicatoins

      Volume: 507 Pages: 344-355

    • DOI

      10.1016/j.laa.2016.06.029

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-25400210, KAKENHI-PROJECT-25400146
  • [Journal Article] The Best Cosntant of Discrete Sobolev Inequality on the C60 Fullerene Buckyball2015

    • Author(s)
      Y. Kametaka, A. Nagai, H. Yamagishi, K. Takemura and K. Watanabe
    • Journal Title

      Journal of Physical Society of Japan

      Volume: 84 Issue: 7 Pages: 074004-074004

    • DOI

      10.7566/jpsj.84.074004

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-25400146, KAKENHI-PROJECT-25400210
  • [Journal Article] Sobolev inequality of free boundary value problem for (-1)M(d/dx)(2M)2015

    • Author(s)
      K. Takemura, A. Nagai, Y. Kametaka, K. Watanabe, H. Yamagishi
    • Journal Title

      J. of Inequality and Appl.

      Volume: 2015 Issue: 1 Pages: 1-20

    • DOI

      10.1186/s13660-015-0568-9

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-24540199, KAKENHI-PROJECT-25400146, KAKENHI-PROJECT-25400210
  • [Journal Article] 切頂正4,6,8面体上の離散ソボレフ不等式の最良定数2015

    • Author(s)
      亀高惟倫,山岸弘幸,永井敦,渡辺宏太郎,武村一雄
    • Journal Title

      日本応用数理学会論文誌

      Volume: 25 Pages: 135-150

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-25400210
  • [Journal Article] The Best Cosntants of Discrete Sobolev Inequalities on Mobius Ladder2014

    • Author(s)
      Kazuo Takemura
    • Journal Title

      Far East Journal of Mathematical Sciences

      Volume: Volume 86, Number 2 Pages: 233-248

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25400210
  • [Journal Article] The best estimation corresponding to continuous model of Thomson cable2013

    • Author(s)
      Hiroyuki Yamagishi, Yoshinori Kametaka, Atsushi Nagai, Kohtaro Watanabe and Kazuo Takemura
    • Journal Title

      Japan Society for Industrial and Applied Mathematics

      Volume: Volume 5 Pages: 53-56

    • NAID

      130003371123

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25400210
  • [Journal Article] The Best Constant of Three Kinds of Discrete Sobolev Inequalities on Regular Polyhedron2013

    • Author(s)
      Hiroyuki Yamagishi, Yoshinori Kametaka, Kohtaro Watanabe, Atsushi Nagai and Kazuo Takemura
    • Journal Title

      Tokyo Journal of Mathematics

      Volume: Volume 36, No. 1 Pages: 253-268

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25400210
  • [Journal Article] Complete low-cut filter and the best constant of Sobolev inequality2013

    • Author(s)
      Hiroyuki Yamagishi, Yoshinori Kametaka, Atsushi Nagai, Kohtaro Watanabe and Kazuo Takemura
    • Journal Title

      Japan Society for Industrial and Applied Mathematics

      Volume: Volume 5 Pages: 33-36

    • NAID

      130003371118

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25400210
  • [Journal Article] Sobolev type inequalities of time-periodic boundary value problems for Heavisideand Thomson Cables2012

    • Author(s)
      Kazuo Takemura, Yoshinori Kametaka, Kohtaro Watanabe, Atsushi Nagai and Hiroyuki Yamagishi
    • Journal Title

      Boundary ValueProblems

      Volume: 2012/ 95 Issue: 1 Pages: 1-15

    • DOI

      10.1186/1687-2770-2012-95

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540148, KAKENHI-PROJECT-24540199
  • [Journal Article] The Best Constant of Discrete Sobolev InequalityCorresponding to a Bending Problem of a String2012

    • Author(s)
      Hiroyuki Yamagishi, Atsushi Nagai, Kohtaro Watanabe, Kazuo Takemura and Yoshinori Kametaka
    • Journal Title

      Kumamoto Journal of Mathematics

      Volume: 25巻 Pages: 1-15

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540148
  • [Journal Article] The Best Constant of Discrete Sobolev Inequality Corresponding to a Bending Problem of a String2012

    • Author(s)
      Hiroyuki Yamagishi, Atsushi Nagai, Kohtaro Watanabe, Kazuo Takemura and Yoshinori Kametaka
    • Journal Title

      Kumamoto Journal of Mathematics

      Volume: 25 Pages: 1-15

    • NAID

      110009930106

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540148
  • [Journal Article] Elliptic theta function and the best constants of Sobolev-type inequalities2012

    • Author(s)
      Hiroyuki Yamagishi, Yoshinori Kametaka, Atsushi Nagai, Kohtaro Watanabe and Kazuo Takemura
    • Journal Title

      JSIAM Letters

      Volume: 4巻 Pages: 1-4

    • NAID

      130002129398

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540148
  • [Journal Article] 正多面体上の離散ソボレフ不等式の最良定数2011

    • Author(s)
      亀高惟倫,渡辺宏太郎,山岸弘幸,永井敦,武村一雄
    • Journal Title

      日本応用数理学会論文誌

      Volume: 21巻 Pages: 289-308

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540148
  • [Journal Article] 正多面体上の離散ソボレフ不等式の最良定数2011

    • Author(s)
      亀高惟倫, 渡辺宏太郎, 山岸弘幸, 永井敦, 武村一雄
    • Journal Title

      日本応用数理学会論文誌

      Volume: 21 Pages: 289-308

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540148
  • [Journal Article] Giambelli's formula and the best constant of Sobolev inequality in one dimensional Euclidean space2010

    • Author(s)
      Y.Kametaka, A.Nagai, K.Watanabe, K.Takemura, H.Yamagishi
    • Journal Title

      Scientiae Mathematicae Japonicae

      Volume: 71, No.1 Pages: 27-41

    • NAID

      10027156121

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540148
  • [Journal Article] Giambelli'sformula and the best constant of Sobolev inequality in one dimensional Euclidean space2010

    • Author(s)
      Yoshinori Kametaka, Atsushi Nagai, Kohtaro Watanabe, Kazuo Takemura and Hiroyuki Yamagishi
    • Journal Title

      Scientiae Mathematicae Japonicae

      Volume: 71,No.1 Pages: 27-41

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540148
  • [Journal Article] The best constant of Soboelv inequality corresponding to a bending problem of a beam on an interval2009

    • Author(s)
      K.Takemura
    • Journal Title

      Tsukuba Journal of Mathematics 33, No.2

      Pages: 253-280

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540148
  • [Journal Article] The best constant of Sobolev inequality corresponding to a bending problem of a beam on aninterval2009

    • Author(s)
      Kazuo Takemura, Hiroyuki Yamagishi, Yoshinori Kametaka, Kohtaro Watanabe and Atsushi Nagai
    • Journal Title

      Tsukuba Journal of Mathematics

      Volume: 33,No.2 Pages: 253-280

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540148
  • [Journal Article] The best constant of Sobolev inequality corresponding to clamped-free boundary value problem for (-1)^M(d/dx)^2M2009

    • Author(s)
      Kazuo Takemura
    • Journal Title

      Proceedings of the Japan Academy

      Volume: 85, Ser.A, No.8 Pages: 112-117

    • NAID

      40016807007

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540148
  • [Journal Article] The best constant of Sobolev inequality corresponding to clamped-free boundary value problem for(-1)^M(d/dx)^<2M>2009

    • Author(s)
      K.Takemura
    • Journal Title

      Proceedings of the Japan Academy 85, Ser.A, No.8

      Pages: 112-117

    • NAID

      40016807007

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540148
  • [Journal Article] 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2009

    • Author(s)
      山岸弘幸,亀高惟倫,武村一雄,渡辺宏太郎,永井敦
    • Journal Title

      日本応用数理学会論文誌

      Volume: 19,No.4 Pages: 489-518

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540148
  • [Journal Article] GREEN FUNCTION FOR BOUNDARY VALUE PROBLEM OF 2M-TH ORDER LINEAR ORDINARY DIFFERENTIAL EQUATIONS WITH OPEN BOUNDARY CONDITION2007

    • Author(s)
      A.Nagai, K.Takemura, Y.Kametaka, K.Watanabe, H.Yamagishi
    • Journal Title

      Far East Journal of Applied Mathematics Volume 26,No. 3

      Pages: 393-406

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540175
  • [Journal Article] The best constant of Sobolev inequality which correspond to a bending problem of a string with periodic boundary condition2007

    • Author(s)
      Y.Kametaka, K.Watanabe, A.Nagai, H.Yamagishi, K.Takemura
    • Journal Title

      Scientiae Mathematicae Japonicae Online e-2007

    • NAID

      10019758321

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540175
  • [Journal Article] RIEMANN ZETA FUNCRION, BERNOULLI POLYNOMIALS AND THE BEST CONSTANT OF SOBOLEW INEQUALITY2007

    • Author(s)
      Y.Kametaka, H.Yamagishi, K.Watanabe, A.Nagai, K.Takemura
    • Journal Title

      Scientiae Mathematicae Japonicae Online e-2007

      Pages: 63-89

    • Data Source
      KAKENHI-PROJECT-17540175
  • [Journal Article] GREEN FUNCTION FOR BOUNDARY VALUE PROBLEM OF 2M-TH ORDER LINEAR ORDINARY DIFFERENTIAL EQUATIONS WITH OPEN BOUNDARY CONDITION2007

    • Author(s)
      A.Nagai, K.Takemura, Y.Kametaka, K.Watanabe, H.Yamagishi
    • Journal Title

      Far East Journal of Applied Mathematics Volume 26, No. 3

      Pages: 393-406

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540175
  • [Journal Article] POSITIVITY AND HIERARCHICAL STRUCTURE OF GREEN FUNCTIONS FOR BENDING OF A BEAM : BOUNDARY VALUE PROBLEMS WITH BOUNDARY CONDITIONS OF NOT SIMPLE TYPE2007

    • Author(s)
      K.Takemura, Y.Kametaka, A.Nagai, N.D.Kopachevsky
    • Journal Title

      Far East Journal of Mathematical Sciences vol. 25 no. 2

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540175
  • [Journal Article] The best constant of Sobolev inequality corresponding to the periodic boundary value problem for (-1)^M(d/dx)^{2M}2007

    • Author(s)
      Y.Kametaka, Y.Oshime, K.Watanabe, H.Yamagishi, A.Nagai, K.Takemura
    • Journal Title

      Scientiae Mathematicae Japonicae Online e-2007

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540175
  • [Journal Article] GREEN FUNCTION FOR BOUNDARY VALUE PLOBREM OF 2M-YH ORDER LINEAR ORDINARY DIFFRRENTIAL EQUATION WITH OPEN BOUNDARY CONDITION2007

    • Author(s)
      A.Nagai, K.Takemura, Y.Kametaka, K.Watanabe, H.Yamagishi
    • Journal Title

      Far East Journal of Applied Mathematics Volume 26・No. 3

      Pages: 393-406

    • Data Source
      KAKENHI-PROJECT-17540175
  • [Journal Article] RIEMANN ZETA FUNCTION, BERNOULLI POLYNOMIALS AND THE BEST CONSTANT OF SOBOLEV INEQUALITY2007

    • Author(s)
      Y.Kametaka, H.Yamagishi, K.Watanabe, A.Nagai, K.Takemura
    • Journal Title

      Scientiae Mathematicae Japonicae Online e-2007

      Pages: 63-89

    • NAID

      10019758757

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540175
  • [Presentation] 弾性基盤上の張力をかけた半無限長の棒のたわみのグリーン関数の階層 構造とソボレフ不等式の最良定数2022

    • Author(s)
      亀高惟倫,渡辺宏太郎,永井 敦,武村一雄,山岸弘幸
    • Organizer
      日本数学会
    • Data Source
      KAKENHI-PROJECT-17K05374
  • [Presentation] The best constant of Sobolev inequality for a discrete Laplacian on Mobius ladder2012

    • Author(s)
      Kazuo Takemura
    • Organizer
      INTERNATIONAL CONGRESS ONMATHEMATICAL PHYSICS ICMP12
    • Place of Presentation
      Denmark
    • Year and Date
      2012-08-06
    • Data Source
      KAKENHI-PROJECT-21540148
  • [Presentation] The best constant of a Sobolev-type inequality which corresponds to Heaviside and Thomson cable with periodic boundary condition2011

    • Author(s)
      Kazuo Takemura
    • Organizer
      Equadiff 2011
    • Place of Presentation
      Loughborough University
    • Year and Date
      2011-08-02
    • Data Source
      KAKENHI-PROJECT-21540148
  • [Presentation] The best constant of a Sobolev-type inequality which corresponds to Heaviside and Thomson cable with periodic boundary condition2011

    • Author(s)
      Kazuo Takemura
    • Organizer
      Equadiff 2011
    • Place of Presentation
      Loughborough University, England
    • Year and Date
      2011-08-02
    • Data Source
      KAKENHI-PROJECT-21540148
  • [Presentation] The best constant of Sobolev inequality corresponding to clamped-free boundary value problem for (-1)^M(d/dx)^(2M)2010

    • Author(s)
      K.Takemura
    • Organizer
      Czech-Japanese Seminar in Applied Mathematics 2010
    • Place of Presentation
      Telc, Czech republic
    • Year and Date
      2010-09-02
    • Data Source
      KAKENHI-PROJECT-21540148
  • [Presentation] The best constant of Sobolev inequality corresponding to clamped-free boundary value problem for (-1)^M(d/dx)^2M2010

    • Author(s)
      Kazuo Takemura
    • Organizer
      Czech-Japanese Seminar in Applied Mathematics 2010
    • Place of Presentation
      Telc, Czech republic
    • Year and Date
      2010-09-02
    • Data Source
      KAKENHI-PROJECT-21540148
  • [Presentation] Free boundary value problem for (-1)^M(d/dx)^2M and the best constant of Sobolev inequality2009

    • Author(s)
      Kazuo Takemura
    • Organizer
      7th International ISAAC Congress
    • Place of Presentation
      England
    • Year and Date
      2009-07-14
    • Data Source
      KAKENHI-PROJECT-21540148
  • [Presentation] Free boundary value problem for(-1)^M(d/dx)^<2M> and the best constant of Sobolev inequality2009

    • Author(s)
      K.Takemura
    • Organizer
      7th International ISAAC Congress
    • Place of Presentation
      Imperial College London
    • Year and Date
      2009-07-14
    • Data Source
      KAKENHI-PROJECT-21540148
  • [Presentation] The best constant of Sobolev inequality for a discrete Laplacian on Mobius ladder

    • Author(s)
      Kazuo Takemura
    • Organizer
      INTERNATIONAL CONGRESS ON MATHEMATICAL PHYSICS ICMP12
    • Place of Presentation
      デンマーク
    • Data Source
      KAKENHI-PROJECT-21540148
  • [Presentation] 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

    • Author(s)
      武村一雄
    • Organizer
      日本数学会
    • Place of Presentation
      学習院大学
    • Data Source
      KAKENHI-PROJECT-25400210
  • 1.  KAMETAKA Yoshinori (00047218)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 30 results
  • 2.  NAGAI Atsushi (90304039)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 25 results
  • 3.  楳田 登美男 (20160319)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 4.  山岸 弘幸 (10448053)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 1 results
  • 5.  關戸 啓人 (40718235)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 6.  WATANABE Kohtaro
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 1 results

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