K
ITAHARA
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Kitahara Lab All Rights Reserved (2024年7月16日更新)
■著書
- K. Kitahara, Spaces of Approximating Functions with Haar-like Conditions,
Lecture Notes in Mathematics 1576, Springer, Berlin Heidelberg, 1994.
- 北原和明 編著, InteGral −算数・数学の雑記帳−, 近代文芸社, 1997年
- 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)
- K. Kitahara, On two new classes of locally convex spaces,
Bull. Austral. Math. Soc., 28(1983), 383 - 392.
- K. Kitahara and L. M. Liu, A note on Minkowski functionals of a
topological vector space, Publ. Inst. Math., 40(1986), 107 - 112.
- K. Kitahara, A characterization of Chebyshev spaces, Proc. Japan Acad.,
62(1986), 375 - 378.
- K. Kitahara, On a locally convex space admitting a fundamental sequence
of strongly bounded subsets, Publicacions Seccio de Matematiques, 31(1987),
85 - 109.
- S. Ogawa and K. Kitahara, An extension of Muntz's theorem in multivariable,
Bull. Austral. Math. Soc., 36(1987), 375 - 387.
- K. Kitahara, On Tchebysheff systems, Proc. Amer. Math. Soc., 105(1989),
412 - 418.
- K. Kitahara, On the space of vector-valued functions of bounded variation,
Rocky Mountain J. Math., 20(1990), 165 - 171.
- K. Kitahara, A note on approximation by step fnctions, Applied Math.
Letters, 3(1990), 23 - 25.
- K. Kitahara, Best L1-approximations, in Progress in Approximation Theory
(Eds. P. Nevai and A. Pinkus), Academic Press, New York, 1991, 505 - 512.
- K. Kitahara and K. Tanaka, On a two decomposition of a bounded metric
space, Applied Math. Letters, 4(1991), 21 - 23.
- K. Kitahara and A. Nishi, Best approximations by vector-valued monotone
increasing or convex functions, J. Math. Anal. Appl., 172(1993), 166 - 178.
- K. Kitahara, Representations of weak Tchebycheff systems, Numer. Funct.
Anal. and Optimiz., 14(1993), 383 - 388.
- K. Kitahara, A note on an infinite weak Tchebycheff system, J. Approx.
Theory, 76(1994), 423 - 425.
- S. Ogawa, S. Kida, K. Kitahara and Y. Igano, Norms of Hermite
Interpolation Operators, Applied. Math. Letters, 9(1996), 9 - 14.
- K. Kiatahara, K. Kuri and Y. Sakamori, On a charcterization of Chebyshev
polynomials, East J. Approx., 4(1998), 565 - 568.
- K. Kitahara and A. Nishi, On infinite weak Tchebycheff and Tchebycheff
systems, East J. Approx., 5(1999), 309 - 316.
- K. Kitahara and K. Kuri, On a Theorem of Jackson Type in K dimensions,
Numer. Funct. Anal. and Optimiz., 21(2000), 465 - 470.
- 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.
- 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.
- K. Kitahara and T. Okada, On vector-valued function spaces with Helly's
property, Approx. Theory and its Appl., 17(2001), 86 - 100.
- 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.
- K. Kitahara, On Chebyshev type theory, Scientiae Mathematicae Japonicae
Online, e-2005(2005), 563 - 573.
- K. Kitahara and K. Horiuchi, A Note on Approximation by Chebyshev
Systems, East J. Approx., 12(2006), 343 - 352.
- K. Kitahara, Some results related to Descartes' rule of signs,
East J. Approx., 14(2008), 467 - 484.
- 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.
- K. Kitahara, Functions approximated by any sequence of interpolation
polynomials, Anal. Theory Appl., 26(2010), 7 -12.
- 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.
- 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
- K. kitahara and T. Okuno, A Note on Two Point Taylor Expansion III, International Journal of Modeling and Optimization Vol.4(2014), 287 - 291.
- 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)
- 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.
- 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.
- T. Urabe and K. Kitahara, Functional Equations in Cauchy's Book,
Mathematical Spectrum, 29, Num. 1 (1996/7), 5 - 7.
- T. Yamamoto, T. Ohta and K. Kitahara, Designing Tiles, Mathematical
Spectrum, 29, Num. 2 (1996/7), 38.
- 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.
- 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.
- A. Kubo and K. Kitahara, A simple number theoretic problem II,
Scientiae Mathematicae Japonicae Online, e-2006(2006), 289 - 292.
- Y. Hattori amd K. Kitahara, In Memoriam Kiyoshi Iseki:29 June 1919
- 14 March 2011, Scientiae Mathematicae Japonicae Vol.76(2013), 153 - 169.
- K. Kitahara, T. Shimotomai and S. Nagata, On a number theoretic problem
by Blanc, Scientiae Mathematicae Japonicae Vol.76(2013), 281 - 288.
- 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
- 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.
- 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.
- 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.
- 北原 和明, 関数近似のはなし, BASIC数学, 1992年8月号, 8 - 11.
■発表
- 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.
- K. Kitahara and Y. Sakamori, On a Algorithm of Remez Type, May 17 - 20(19),
2000, Trends in Approximation Theory, Nashville, Tennessee, USA.
- 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.
- 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.
- 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.
-
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.
-
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.
-
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.
- K. Kitahara and Y. Hayashi,
A note on generalized Chebyshev polynomials, December 8, 2018,
National Conference on Mathematical Analysis and Mathemtical Modelling,
Kolkata, India.