Approximation of certain classes of periodic functions with many variables

Ryozi SAKAI

doi:10.2969/jmsj/03310051

Ryozi SAKAI

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ジャーナルフリー

1981 年 33 巻 1 号 p. 51-65

DOI https://doi.org/10.2969/jmsj/03310051

詳細

Published: 1981 Received: 1978/08/23 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) J. Favard, Sur les meilleures procédés d'approximation de certaines classes des fonctions par des polynômes trigonométriques, Bull. sci. Math., 61 (1937), 209-224, 243-256.
2) N. I. Akhiezer and M. G. Krein, On the best approximation of periodic functions, Dokl. Akad. Nauk SSSR, 15 (1937).
3) N. I. Akhiezer, Über die Functionen die in gegebenen Intervallen am wenigsten von Null abweichen, Izv. Kaz. fiz. mat. ob-va, 3 (1928).
4) N. I. Akhiezer, Theory of approximation, Ungar, New York; Constable, London, 1956.
5) N. P. Korneicuk, Upper bounds of best approximations on classes of differentiable periodic functions in the C and L metrics, Dokl. Akad. Nauk SSSR, 190 (1970), 77-80=Soviet Math. Dokl., 11 (1970).
6) B. Sz. Nagy, Über gewisse Extremalfragen bei transformierten trigonometrischen Entwicklungen, Berichte Akad. Wiss. Leipzig, 90 (1938).
7) A. F. Timan, Theory of approximation of functions of a real variable, Macmillan, New York, 1963.
8) G. G. Lorentz, Approximation of functions, Holt, Rinehart and Winston, 1966.

Right : [1] J. Favard, Sur les meilleures procédés d'approximation de certaines classes des fonctions par des polynômes trigonométriques, Bull. sci. Math., 61 (1937), 209-224, 243-256.
[2] N. I. Akhiezer and M. G. Krein, On the best approximation of periodic functions, Dokl. Akad. Nauk SSSR, 15 (1937).
[3] N. I. Akhiezer, Über die Functionen die in gegebenen Intervallen am wenigsten von Null abweichen, Izv. Kaz. fiz. mat. ob-va, 3 (1928).
[4] N. I. Akhiezer, Theory of approximation, Ungar, New York; Constable, London, 1956.
[5] N. P. Korneicuk, Upper bounds of best approximations on classes of differentiable periodic functions in the C and L metrics, Dokl. Akad. Nauk SSSR, 190 (1970), 77-80=Soviet Math. Dokl., 11 (1970).
[6] B. Sz. Nagy, Über gewisse Extremalfragen bei transformierten trigonometrischen Entwicklungen, Berichte Akad. Wiss. Leipzig, 90 (1938).
[7] A. F. Timan, Theory of approximation of functions of a real variable, Macmillan, New York, 1963.
[8] G. G. Lorentz, Approximation of functions, Holt, Rinehart and Winston, 1966.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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