A new note on factored infinite series and trigonometric Fourier series

IF 0.8 4区数学 Q2 MATHEMATICS

Comptes Rendus Mathematique Pub Date : 2021-04-20 DOI:10.5802/CRMATH.179

H. Bor

引用次数: 6

Abstract

In this paper, we have proved two main theorems under more weaker conditions dealing with absolute weighted arithmetic mean summability factors of infinite series and trigonometric Fourier series. We have also obtained certain new results on the different absolute summability methods. 2020 Mathematics Subject Classification. 26D15, 40D15, 42A24, 46A45. Manuscript received 14th November 2020, accepted 13th January 2021.

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关于因式无穷级数和三角傅里叶级数的新注记

本文在较弱的条件下证明了无穷级数和三角傅里叶级数的绝对加权算术平均可和因子的两个主要定理。对于不同的绝对可和性方法，我们也得到了一些新的结果。2020数学学科分类。26D15、40D15、42A24、46A45。稿件于2020年11月14日收稿，2021年1月13日收稿。

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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来源期刊

Comptes Rendus Mathematique 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

115

审稿时长

16.6 weeks

期刊介绍： The Comptes Rendus - Mathématique cover all fields of the discipline: Logic, Combinatorics, Number Theory, Group Theory, Mathematical Analysis, (Partial) Differential Equations, Geometry, Topology, Dynamical systems, Mathematical Physics, Mathematical Problems in Mechanics, Signal Theory, Mathematical Economics, … Articles are original notes that briefly describe an important discovery or result. The articles are written in French or English. The journal also publishes review papers, thematic issues and texts reflecting the activity of Académie des sciences in the field of Mathematics.