On absolute matrix summability factors of infinite series and Fourier series

Quite recently, Bor (2021) [22] has proved two main theorems dealing with absolute Riesz summability factors of infinite series and Fourier series by using an almost increasing sequence. In this paper, we have generalized these theorems to the |A,pn|k summability method.

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Bibliographic Details
Published in:Bulletin des sciences mathématiques 2021-09, Vol.170, p.103000, Article 103000
Main Author: Yıldız, Şebnem
Format: Article
Language:English
Subjects:
Absolute matrix summability
Fourier series
Hölder's inequality
Infinite series
Minkowski's inequality
Riesz mean
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Summary:Quite recently, Bor (2021) [22] has proved two main theorems dealing with absolute Riesz summability factors of infinite series and Fourier series by using an almost increasing sequence. In this paper, we have generalized these theorems to the |A,pn|k summability method.
ISSN:0007-4497
1952-4773
DOI:10.1016/j.bulsci.2021.103000