On the generalizations of some factors theorems for infinite series and Fourier series

Abstract

Quite recently, Bor [Quaest. Math. 42 (2019) (in press)] has proved a new result on weighted arithmetic mean  summability factors of non decreasing  sequences and application on Fourier series. In this paper, we extend his result to more general matrix  summability method by using an almost increasing sequence and normal matrices in place of a positive non-decreasing sequence and weighted mean matrices, respectively.