Estimates of the sums of sine series with monotone coefficients of certain classes

被引：10

作者：

Popov, AY ^{[1
]}

机构：

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

来源：

MATHEMATICAL NOTES | 2003年 / 74卷 / 5-6期

关键词：

sine series; sum of a sine series with monotone coefficients; estimate of the sum of a sine series; monotone sequence;

D O I：

10.1023/B:MATN.0000009019.66625.fb

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we obtain two-sided estimates with sharp constants of the sums of sine series with a convex sequence of coefficients tending to zero.

引用

页码：829 / 840

页数：12

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