A new extension on the theorem of Bor

Abstract

In [8], Bor has obtained a main theorem dealing with Riesz summability factors of infinite series and Fourier series. In this paper, we generalized that theorem to |A, θn |k summability method for taking power increasing sequence. Also some new and known results are obtained dealing with some basic summability methods. © Académie des sciences, Paris and the authors, 2021. Some rights reserved.