On Approximation Characteristics of Some Classes of Functions of Small Smoothness

被引：0

作者：

Radomskii, A. O. ^{[1
]}

机构：

[1] Russian Acad Sci, Steklov Math Inst, Moscow, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2018年 / 59卷 / 03期

基金：

俄罗斯科学基金会;

关键词：

entropy number; Kolmogorov width; trigonometric polynomial; TRIGONOMETRIC POLYNOMIALS; ENTROPY NUMBERS;

D O I：

10.1134/S0037446618030114

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We find the exact order of the entropy numbers and the Kolmogorov widths of a class of functions defined by a condition on the uniform norm of blocks of the Fourier series taken over a lacunar sequence of indices. This result generalizes a result by B. S. Kashin and V. N. Temlyakov.

引用

页码：486 / 493

页数：8

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