On Absolute Summability of Factored Infinite Series and Trigonometric Fourier Series

被引：8

作者：

Bor, Huseyin ^{[1
]}

机构：

[1] POB 121, TR-06502 Ankara, Turkey

来源：

RESULTS IN MATHEMATICS | 2018年 / 73卷 / 03期

关键词：

Weighted arithmetic mean; summability factors; power increasing sequences; infinite series; Fourier series; sequence space; Holder inequality; Minkowski inequality;

D O I：

10.1007/s00025-018-0877-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a known result dealing with summability factors of infinite series, has been proved under weaker conditions. And then this result has been applied to the trigonometric Fourier series. Some new results have also been obtained.

引用

页数：9

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