Mixed Moduli of Smoothness in Mixed Metrics

被引：0

作者：

Simonov, B. V. ^{[1
]}

机构：

[1] Volgograd State Tech Univ, Volgograd, Russia

来源：

MATHEMATICAL NOTES | 2012年 / 92卷 / 5-6期

基金：

俄罗斯基础研究基金会;

关键词：

mixed modulus of smoothness; Fourier series; measurable function; mixed metric; the Weyl derivative; trigonometric polynomial; Holder's inequality;

D O I：

10.1134/S0001434612110119

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a mixed modulus of smoothness of positive order, its relationship with the norms of partial sums of a Fourier series in a mixed metric is obtained. The relation between mixed moduli of smoothness of positive order in different mixed metrics is established. DOI: 10.1134/S0001434612110119

引用

页码：686 / 699

页数：14

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