关于因式无穷级数和三角傅里叶级数的新注记

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

H. Bor

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引用次数: 6

摘要

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。

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A new note on factored infinite series and trigonometric Fourier series

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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