Best approximations of periodic functions of several variables from the classes B p, θ Ω

被引：3

作者：

Stasyuk, S. A. ^{[2
,1
]}

机构：

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

来源：

MATHEMATICAL NOTES | 2010年 / 87卷 / 1-2期

关键词：

periodic function of several variables; trigonometric polynomial; level surface; Bari-Stechkin condition; Vallee-Poussin kernel; modulus of continuity; Holder'd inequality; step hyperbolic cross;

D O I：

10.1134/S000143461001013X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain order-sharp estimates of best approximations for the classes B (p, theta) (Omega) of periodic functions of several variables by trigonometric polynomials whose spectra are generated by the level surfaces of the function Omega(t).

引用

页码：102 / 114

页数：13

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