Mixed moduli of smoothness in mixed metrics

被引：0

作者：

B. V. Simonov

机构：

[1] Volgograd State Technical University,

来源：

Mathematical Notes | 2012年 / 92卷

关键词：

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

D O I：

暂无

中图分类号：

学科分类号：

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.

引用

页码：686 / 699

页数：13

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