Extensions of summability factors from single to double series

Abstract

In earlier papers, some classes of absolute Riesz summability factors of innite
single series were characterized by Sar¬göl &Bor [23], Sar¬göl ([25],[26]) and Rhoades & Savas [29]. The goal of this paper is to extend these classes to double summability and also to obtaine some well known results as special cases.