Remarks on mean convergence (boundedness) of partial sums of trigonometric series

被引：14

作者：

Belov, AS ^{[1
]}

机构：

[1] Ivanovo State Univ, Ivanovo 153377, Russia

来源：

MATHEMATICAL NOTES | 2002年 / 71卷 / 5-6期

基金：

俄罗斯基础研究基金会;

关键词：

trigonometric Fourier series; L-convergence; L-boundedness; LC-sequence; LB-sequence; finitely lacunary sequence;

D O I：

10.1023/A:1015860510199

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Fairly general conditions on the coefficients (a(n))(n=1)(infinity) of even and odd trigonometric Fourier series tinder which L-convergence (boundedness) of partial sums of the series is equivalent to the relation Sigma(k=[n/2])(2n) \a(k)\/(\n-k\ +1) = o(1) (= O(1) respectively) are given.

引用

页码：739 / 748

页数：10

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[3]

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[4]

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[5]

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[7]

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[8]

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