Estimates of the mixed norms of derivatives and of the mixed moduli of smoothness of functions having monotone Fourier coefficients

被引：0

作者：

T. M. Vukolova

机构：

[1] Lomonosov Moscow State University,

来源：

Mathematical Notes | 2015年 / 97卷

关键词：

mixed norm of a derivative; mixed modulus of smoothness; Fourier coefficient; Pringsheim convergence; Hardy-Littlewood theorem;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Lower and upper bounds for the mixed norms of derivatives and mixed moduli of smoothness of functions having monotone Fourier coefficients are proved.

引用

页码：854 / 866

页数：12

共 3 条

[1]

D’yachenko M I(1986)On the convergence of double trigonometric series and Fourier series with monotone coefficients Mat. Sb. 129 55-72

[2]

Simonov B V(2011)Relation between moduli of smoothness and partial sums of Fourier series and embedding theorems for Nikol’skii classes Dokl. Ross. Akad. Nauk 437 751-753

[3]

Hardy G H(1905)On double Fourier series and especially those which represent the double zeta-function with real and incommensurable parameters Quart. J. 37 53-79

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