H. S. Özarslan, “On the generalized absolute Cesàro summability methods”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, Number 11,Pages <nobr>34

This article is cited in 2 papers

On the generalized absolute Cesàro summability methods

H. S. Özarslan

Erciyes University, Kayseri, 38039 Turkey

Abstract: In this paper, a theorem on ${\mid{C},\alpha\mid}_k$ summability of an infinite series is generalized for the $\varphi-{\mid{C},\alpha; \delta\mid}_k$ summability method. Also, a known result dealing with ${\mid{C},1\mid}_k$ summability is given.

Keywords: almost increasing sequences, Cesàro mean, Hölder's inequality, Minkowski's inequality, summability factors.

UDC: 517

Received: 07.10.2020
Revised: 11.12.2020
Accepted: 24.12.2020

DOI: 10.26907/0021-3446-2021-11-34-39