Personnel Information

写真b

KITAHARA Kazuaki

Organization
School of Science Department of Mathematical Sciences
Research Fields, Keywords
mathematics, approximation theory, interpolation and best approximation
Teaching and Research Fields
It is well known that approximating spaces consisting of polynomial functions, trigonometric functions, spline functions are extremely useful when considering approximations to functions. This is because these functions can be obtained by performing appropriate interpolation to give a good approximation to the approximated function. If we call this property an approximation function with Haar property, we are working on considering function approximation and function expansion by considering a system of approximation functions with Haar property that is easy to handle. In particular, the generalization of n point Taylor expansions of functions is underway.
SDGs Related Goals

Degree 【 display / non-display

  • Degree name:学術博士
    Classified degree field:Natural Science / Mathematical analysis
    Conferring institution:Kobe University
    Acquisition way:Coursework
    Date of acquisition:1987.03

Career 【 display / non-display

  • Affiliation:Kwansei Gakuin University
    Title:Professor
    Date:1995.04 -

Association Memberships 【 display / non-display

  • Academic society name:日本数学会
    Academic country located:Japan

  • Academic society name:国際数理科学協会
    Academic country located:Japan

Research Areas 【 display / non-display

  • Research field:Natural Science / Mathematical analysis

Papers 【 display / non-display

  • Language: English
    Title: Chebyshev systems obtained by translations of a single function
    Journal name: Applied Mathematical Sciences  vol.17  (8)  (p.355 - 361)
    Date of publication: 2023.04
    Author(s): K. Kitahara and S. Harada

    Type of publication: Research paper (scientific journal)

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  • Language: English
    Title: A note on multiplicity weight of nodes of two point Taylor expansion
    Journal name: Applied Mathematical Sciences  vol.11  (61)  (p.3017 - 3032)
    Date of publication: 2017.12
    Author(s): K. Shimada, S. Taguchi and K. Kitahara

    Type of publication: Research paper (scientific journal)

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  • Language: English
    Title: A note on two point Taylor expansion III
    Journal name: International Journal of Modeling and Optimization  vol.4  (p.287 - 291)
    Date of publication: 2014
    Author(s): K. Kitahara and T. Okuno

    Type of publication: Research paper (scientific journal)

  • Language: English
    Title: On number theoretic problem by Blanc
    Journal name: Scientiae Mathematicae Japonicae  vol.76  (2)  (p.281 - 288)
    Date of publication: 2013.08
    Author(s): K. Kitahara, T. Shimotomai and S. Nagata

    Type of publication: Research paper (scientific journal)

  • Language: English
    Title: A visit to the weak elementary Euclidean Pasch free geometry
    Journal name: Scientiae Mathematicae Japonicae  vol.76  (2)  (p.367 - 374)
    Date of publication: 2013.08
    Author(s): C. Omoto and K. Kitahara

    Type of publication: Research paper (scientific journal)

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Books 【 display / non-display

  • Language: English
    Title: Scientiae Mathematicae Japonicae Vol76, No. 2
    Publisher: International Society for Mathetical Sciences
    Date of publication: 2013.08
    Author(s): Y. Hattori and K. Kitahara

    Type of books: Scholarly book
    Authorship:Joint editor

  • Language: English
    Title: Spaces of Approximating Functions with Haar-like Conditions, Lecture Notes in Mathematics 1576
    Publisher: Springer, Berlin Heidelberg
    Date of publication: 1995.03
    Author(s): K. Kitahara

    Type of books: Scholarly book
    Authorship:Sole author

Research Projects 【 display / non-display

  • Research category:Grant-in-Aid for Scientific Research(C)
    Project year:2010.04 - 2013.03
    Title:補間多項式の収束性の研究

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Presentations 【 display / non-display

  • Language:English
    Conference name:National Conference on Mathematical Analysis and Mathemtical Modelling
    International/Domestic presentation:International presentation
    Holding date:2018.12
    Presentation date:2018.12.08
    Title:A note on generalized Chebyshev polynomials
    Presentation type:Oral presentation (general)

  • Language:English
    Conference name:The 3rd International Conference on Pure and Applied Mathematics
    International/Domestic presentation:International presentation
    Holding date:2014.07
    Presentation date:2014.07.19
    Title:A note on two point Taylor expansion III
    Presentation type:Oral presentation (general)

  • Language:Japanese
    Conference name:The 7th International Conference on Appiled Physics and Mathematics
    International/Domestic presentation:International presentation
    Holding date:2014.01
    Presentation date:2014.01.21
    Title:A Note on Multiplicity Weight of Nodes of Two Point Taylor Expansion
    Presentation type:Oral presentation (general)

  • Language:English
    Conference name:Paul Turan Memorial Conference, August 22 - 28(23)
    International/Domestic presentation:International presentation
    Holding date:2011.08
    Title:A note on two point Taylor expansion.
    Presentation type:Oral presentation (general)

  • Language:English
    Conference name:International Conference Constructive Theory of Functions, June 3 - 10(8)
    International/Domestic presentation:International presentation
    Holding date:2010.06
    Title:Functions approximated by any sequence of interpolating generalized polynomials.
    Presentation type:Oral presentation (general)