A new note on absolute matrix summability of infinite series

Hikmet Seyhan Özarslan; Ahmet Karakaş

doi:10.32513/tmj/19322008114

Abstract

In this paper, absolute matrix summability of an infinite series has been studied. A known theorem dealing with $|\bar{N},p_n|_{k}$ summability factors of an infinite series has been generalized. This new theorem also includes some results.

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Hikmet Seyhan Özarslan. Ahmet Karakaş. "A new note on absolute matrix summability of infinite series." Tbilisi Math. J. 14 (1) 181 - 190, March 2021. https://doi.org/10.32513/tmj/19322008114

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Received: 20 May 2020; Accepted: 26 August 2020; Published: March 2021

First available in Project Euclid: 1 April 2021

Digital Object Identifier: 10.32513/tmj/19322008114

Subjects:

Primary: 40F05

Secondary: 26D15 , 40D15 , 40G99

Keywords: absolute matrix summability , almost increasing sequence , Hölder's inequality , infinite series , ‎Minkowski's inequality , summability factors

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