On the rate of convergence in L of Fourier sine series with monotone coefficients

被引：2

作者：

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

机构：

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

来源：

MATHEMATICAL NOTES | 2016年 / 100卷 / 3-4期

关键词：

convergence in L; sine series with monotone coefficients;

D O I：

10.1134/S0001434616090145

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is shown that the exact order of decrease of the norm in L of the remainder of a Fourier sine series with monotone coefficients can be expressed in terms of the coefficients of the series just as for a series with convex coefficients. But the numerical multipliers in the estimates are different.

引用

页码：472 / 476

页数：5

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