K ITAHARA L AB

トップ 管理者紹介 研究・教育 授業 研究室
研究室日誌 みなさんへ 数理科学科 理工学部 関西学院大学
Kitahara Lab All Rights Reserved (2019年5月17日更新)

■著書

  1. K. Kitahara, Spaces of Approximating Functions with Haar-like Conditions, Lecture Notes in Mathematics 1576, Springer, Berlin Heidelberg, 1994.
  2. 北原和明 編著, InteGral −算数・数学の雑記帳−, 近代文芸社, 1997年
  3. Scientiae Mathematicae Japonicae Vol.76, No.2, Edited by Y. Hattori and K. Kitahara.

    ■論文(関数空間,関数近似関係)

    1. K. Kitahara, On two new classes of locally convex spaces, Bull. Austral. Math. Soc., 28(1983), 383 - 392.
    2. K. Kitahara and L. M. Liu, A note on Minkowski functionals of a topological vector space, Publ. Inst. Math., 40(1986), 107 - 112.
    3. K. Kitahara, A characterization of Chebyshev spaces, Proc. Japan Acad., 62(1986), 375 - 378.
    4. K. Kitahara, On a locally convex space admitting a fundamental sequence of strongly bounded subsets, Publicacions Seccio de Matematiques, 31(1987), 85 - 109.
    5. S. Ogawa and K. Kitahara, An extension of Muntz's theorem in multivariable, Bull. Austral. Math. Soc., 36(1987), 375 - 387.
    6. K. Kitahara, On Tchebysheff systems, Proc. Amer. Math. Soc., 105(1989), 412 - 418.
    7. K. Kitahara, On the space of vector-valued functions of bounded variation, Rocky Mountain J. Math., 20(1990), 165 - 171.
    8. K. Kitahara, A note on approximation by step fnctions, Applied Math. Letters, 3(1990), 23 - 25.
    9. K. Kitahara, Best L1-approximations, in Progress in Approximation Theory (Eds. P. Nevai and A. Pinkus), Academic Press, New York, 1991, 505 - 512.
    10. K. Kitahara and K. Tanaka, On a two decomposition of a bounded metric space, Applied Math. Letters, 4(1991), 21 - 23.
    11. K. Kitahara and A. Nishi, Best approximations by vector-valued monotone increasing or convex functions, J. Math. Anal. Appl., 172(1993), 166 - 178.
    12. K. Kitahara, Representations of weak Tchebycheff systems, Numer. Funct. Anal. and Optimiz., 14(1993), 383 - 388.
    13. K. Kitahara, A note on an infinite weak Tchebycheff system, J. Approx. Theory, 76(1994), 423 - 425.
    14. S. Ogawa, S. Kida, K. Kitahara and Y. Igano, Norms of Hermite Interpolation Operators, Applied. Math. Letters, 9(1996), 9 - 14.
    15. K. Kiatahara, K. Kuri and Y. Sakamori, On a charcterization of Chebyshev polynomials, East J. Approx., 4(1998), 565 - 568.
    16. K. Kitahara and A. Nishi, On infinite weak Tchebycheff and Tchebycheff systems, East J. Approx., 5(1999), 309 - 316.
    17. K. Kitahara and K. Kuri, On a Theorem of Jackson Type in K dimensions, Numer. Funct. Anal. and Optimiz., 21(2000), 465 - 470.
    18. K. Kitahara and Y. Sakamori, On an Algorithm of Remez Type, in Trends in Approximation Theory (Eds. K. Kopotun, T. Lyche and M. Neamtu), Vanderbilt University Press, 2000, 161 - 167.
    19. K. Kitahara, T. Okada and Y. Sakamori, Some Problems on Polynomial Approximation, in Unsolved Problems on Mathematics for the 21st Century (Eds. J. M. Abe and S. Tanaka), IOS Press, 2001, 211 - 221.
    20. K. Kitahara and T. Okada, On vector-valued function spaces with Helly's property, Approx. Theory and its Appl., 17(2001), 86 - 100.
    21. K. Kitahara, F. Shimizu and Y. Udagawa, On estimations of the norms of the Lagrange Interpolation Operators, in Constructive Theory of Functions, Varna 2002 (Ed. B. D. Bojanov), Darba, 2003, 333 - 338.
    22. K. Kitahara, On Chebyshev type theory, Scientiae Mathematicae Japonicae Online, e-2005(2005), 563 - 573.
    23. K. Kitahara and K. Horiuchi, A Note on Approximation by Chebyshev Systems, East J. Approx., 12(2006), 343 - 352.
    24. K. Kitahara, Some results related to Descartes' rule of signs, East J. Approx., 14(2008), 467 - 484.
    25. K. Kitahara, A Note on best selection of quasi Descartes systems, Revue D'anlyse Numerique et de Theorie de L'approximation, 38(2009), 154 - 163.
    26. K. Kitahara, Functions approximated by any sequence of interpolation polynomials, Anal. Theory Appl., 26(2010), 7 -12.
    27. Y. Nishino and K. Kitahara, Functions approximated by any sequence of interpolating generalized polynomials, International Journal of Pure and Applied Mathematics, 64 (2010), 411 - 420.
    28. K. Kitahara, T. Yamada and K. Fujiwara, A Note on Two Point Taylor Expansion II, International Journal of Pure and Applied Mathematics, 86 (2013), 65-82
    29. K. kitahara and T. Okuno, A Note on Two Point Taylor Expansion III, International Journal of Modeling and Optimization Vol.4(2014), 287 - 291.
    30. K. Shimada, S. Taguchi and K. Kitahara, A note on multiplicity weight of nodes of two point Taylor expansion, Applied Mathematical Sciences. 11(2017), 3017 - 3032.

    ■論文(関数空間・関数近似以外,教育関係)

    1. T. Ohta, K. Kitahara and T. Yamamoto, Some samples of patterns designed by a personal computer - A simple method of designing mosaics -, J. Fac. Edu. Saga Univ., 38(1990), 1 - 14.
    2. T. Ohta, K. Kitahara and T. Yamamoto, Some samples of patterns designed by a personal computer II, J. Fac. Edu. Saga Univ., 39(1991), 37 - 49.
    3. T. Urabe and K. Kitahara, Functional Equations in Cauchy's Book, Mathematical Spectrum, 29, Num. 1 (1996/7), 5 - 7.
    4. T. Yamamoto, T. Ohta and K. Kitahara, Designing Tiles, Mathematical Spectrum, 29, Num. 2 (1996/7), 38.
    5. A. Nishi and K. Kitahara, A Note on Derivation of the Wave Equation, International Journal of Mathematical Education in Science and Technology, 28(1997), 309 - 311.
    6. K. Kitahara, N. Kemoto and T. Urabe, A visit to a functional equation for the trigonometric functions, International Journal of Mathematical Education in Science and Technology, 28(1997), 462 - 465.
    7. A. Kubo and K. Kitahara, A simple number theoretic problem II, Scientiae Mathematicae Japonicae Online, e-2006(2006), 289 - 292.
    8. Y. Hattori amd K. Kitahara, In Memoriam Kiyoshi Iseki:29 June 1919 - 14 March 2011, Scientiae Mathematicae Japonicae Vol.76(2013), 153 - 169.
    9. K. Kitahara, T. Shimotomai and S. Nagata, On a number theoretic problem by Blanc, Scientiae Mathematicae Japonicae Vol.76(2013), 281 - 288.
    10. C. Omoto and K. Kitahara, A visit to the weak elementary Euclidean Pasch free geometry, Scientiae Mathematicae Japonicae Vol.76(2013), 367 - 374.

    ■解説記事

    1. 北原 和明,日本地図を塗ってみよう, 自然科学教育に於ける教材及び指導法に 関する研究(佐賀大学教育研究プロジェクト), 1990, 45 - 53.
    2. 北原 和明, ドーナツを塗ってみよう, 自然科学教育に於ける教材及び指導法に 関する研究(佐賀大学教育研究プロジェクト), 1991, 97 - 104.
    3. 北原 和明, 繰り返し紋様を作ってみよう, 科学朝日, 1991年7月号, 136 - 137.
    4. 北原 和明, 関数近似のはなし, BASIC数学, 1992年8月号, 8 - 11.

    ■発表

    1. T. Yamamoto, T. Ohta and K. Kitahara, Designing Wallpaper Patterns (Poster Sesstion), November 21 - 25, 1994, The International KATACHI U SYMMETRY Symposium, University of Tukuba, Japan.
    2. K. Kitahara and Y. Sakamori, On a Algorithm of Remez Type, May 17 - 20(19), 2000, Trends in Approximation Theory, Nashville, Tennessee, USA.
    3. K. Kitahara, Best Approximations in C[0,1] Endowed with an Oscillation Norm, June 4 - 8(8), 2001, Internatinal Conference of Computational Harmonic Analysis, Hong Kong, Peoeple's Republic of China.
    4. K. Kitahara, F. Shimizu and Y. Udagawa, On estimations of the norms of the Lagrange interpolation operators, June 19 - 23(22), 2002, Constructive Theory of Functions Varna 2002, Varna, Bulgaria.
    5. Y. Nishino and K. Kitahara,Functions approximated by any sequence of interpolating generalized polynomials, June 3 - 10(8), 2010, Constructive Theory of Functions, Sozopol, Bulgaria.
    6. K. Kitahara, Taizo Chiyonobu and Hirokazu Tsukamoto, A note on two point Taylor expansion, August 22 - 28(23), 2011, Paul Turan Memorial Conference, Budapest, Hungary.
    7. K. Kitahara and T. Okuno, A note on two point Taylor expansion III, July 18 - 19(19), 2014, The 3rd International Conference on Pure and Applied Mathematics, Madrid, Spain.
    8. K. Shimada, S. Taguchi and K. Kitahara, A Note on Multiplicity Weight of Nodes of Two Point Taylor Expansion, January 21, 2017, The 7th International Conference on Appiled Physics and Mathematics, Tokyo, Japan.
    9. K. Kitahara and Y. Hayashi, A note on generalized Chebyshev polynomials, December 8, 2018, National Conference on Mathematical Analysis and Mathemtical Modelling, Kolkata, India.


トップ 管理者紹介 研究・教育 授業 研究室
研究室日誌 みなさんへ 数理科学科 理工学部 関西学院大学