Fourier coefficients of functions with a given modulus of continuity

被引：1

作者：

Biryukova, V. S. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow, Russia

来源：

MATHEMATICAL NOTES | 2007年 / 81卷 / 1-2期

基金：

俄罗斯基础研究基金会;

关键词：

Fourier coefficient; modulus of continuity of a function; system of Rademacher functions; 2 pi-periodic function; convex function;

D O I：

10.1134/S0001434607010191

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the role of the convexity condition for the modulus of continuity in the problem Of finding all upper bound for the Fourier coefficients taken over the class Of functions with a given modulus of continuity. Also, we solve the problem of the Fourier coefficients for the Rademacher system.

引用

页码：164 / 171

页数：8

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