Best Approximations for Classes of Periodic Functions of Many Variables with Bounded Dominating Mixed Derivative

被引：0

作者：

Pozharska, Kateryna ^{[1
]}

Romanyuk, Anatolii ^{[1
]}

Yanchenko, Serhii ^{[1
]}

机构：

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

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2024年 / 76卷 / 07期

关键词：

ENTROPY NUMBERS;

D O I：

10.1007/s11253-024-02378-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish exact order estimates for the approximations of the Sobolev classes W-p,W-alpha (R)(T-d) of periodic functions of numerous variables with bounded dominating mixed derivative. The approximations are performed by using trigonometric polynomials with spectra in step hyperbolic crosses, and the errors are estimated in the metric of the space B-q,B-1(T-d), 1 <= p, q < infinity.

引用

页码：1144 / 1162

页数：19

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