Saturation of the linear methods of summation of Fourier series in the spaces Spφ

被引：0

作者：

A. L. Shydlich

机构：

[1] Ukrainian National Academy of Sciences,Institute of Mathematics

来源：

Ukrainian Mathematical Journal | 2008年 / 60卷

关键词：

Fourier Series; Linear Method; Linear Normed Space; Arbitrary Sequence; Ukrainian National Academy;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider the problem of saturation of the linear methods of summation of Fourier series in the spaces Spφ specified by arbitrary sequences of functions defined in a certain subset of the space ℂ. Sufficient conditions for the saturation of the indicated methods in these spaces are established.

引用

页码：950 / 966

页数：16

共 12 条

[1]

Stepanets' O. I.(2003)Best Ukr. Mat. Zh. 55 1107-1126

[2]

Shydlich A. L.(2004)-term approximations by the Λ-methods in the spaces {ie965-02} Ukr. Mat. Zh. 56 133-138

[3]

Shydlich A. L.(2001)On the saturation of the linear methods of summation of Fourier series in the spaces {ie965-04} Ukr. Mat. Zh. 55 392-416

[4]

Stepanets A. I.(2001)Approximation characteristics of the spaces {ie965-06} Ukr. Mat. Zh. 55 1121-1147

[5]

Stepanets A. I.(2003)Approximation characteristics of the spaces {ie965-07} with various metrics Ukr. Mat. Zh. 55 806-816

[6]

Rukasov V. I.(1949)Best Anal. Harmon. Colloq. Int. Cent. Nat. Rech. Sci. 15 97-100

[7]

Favard J.(1957)-term approximations in the spaces with nonsymmetric metric J. Math. Pures Appl. 36 359-372

[8]

Favard J.(1941)Sur l'approximation des fonctions d'une variable reele Mat. Fis. Lapok 48 410-433

[9]

Alexets G.(1945)Sur la saturation des procedes de summation Duke Math. J. 12 695-704

[10]

Zygmund A.(1991)Sur l'otdre de grandeur de l'approximation d'une function par les moyennes de sa series de Fourier Ukr. Mat. Zh. 43 291-308

← 1 2 →