Best trigonometric approximations for some classes of periodic functions of several variables in the uniform metric

被引：6

作者：

Romanyuk, A. S. ^{[1
]}

机构：

[1] Natl Acad Sci Ukraine, Inst Math, Kiev, Ukraine

来源：

MATHEMATICAL NOTES | 2007年 / 82卷 / 1-2期

关键词：

best trigonometric approximation; the classes B-p; theta(r) and W-p; alpha(r) of periodic functions; Minkowski's inequality; Holder's inequality; Vallee-Poussin kernel;

D O I：

10.1134/S0001434607070279

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study best M-term trigonometric approximations and best orthogonal trigonometric approximations for the classes B-p,theta(r) and W-p,alpha(r) of periodic functions of several variables in the uniform metric.

引用

页码：216 / 228

页数：13

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