论正交序列的收敛性和可求和性

IF 0.3 4区数学 Q4 MATHEMATICS

Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences Pub Date : 2024-08-09 DOI:10.3103/s1068362324700171

L. Gogoladze

引用次数: 0

摘要

摘要本文为正交级数的收敛性、Cesàro 方法的可求和性和几乎无处不在的无条件收敛性找到了充分条件，这些条件等同于 Menshov-Redemacher、Menshov 和 Orlich 的著名定理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the Convergence and Summability of Orthogonal Series

Abstract

In the paper, the sufficient conditions are found for the convergence, summability by the Cesàro methods and unconditional convergence almost everywhere of orthogonal series, which are equivalent to the well-known theorems of Menshov–Redemacher, Menshov, and Orlich.

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来源期刊

Journal of Contemporary Mathematical Analysis-Armenian Academy of Sciences MATHEMATICS-

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences) is an outlet for research stemming from the widely acclaimed Armenian school of theory of functions, this journal today continues the traditions of that school in the area of general analysis. A very prolific group of mathematicians in Yerevan contribute to this leading mathematics journal in the following fields: real and complex analysis; approximations; boundary value problems; integral and stochastic geometry; differential equations; probability; integral equations; algebra.