Characterization of generalized absolute Cesaro summability factors

Abstract

Recently Sarigol (in: Kuwait J Sci 42(3):28-35, 2015) has investigated the summability factors of type e 2 jC; ajk; jN; pnj, for a[ 1, k[ 1 and arbitrary positive sequence opnTHORN, which extends some well known results. The aim of this paper is to generalize these results using more general summability jC; a; bjk, k 1: More precisely, we give characterization of the summability factors of the types jC; a; bjk; jN; pnj, k[ 1 and jN; pnj; jC; a; bjk ; k 1 for a thorn b[ 1 and a positive sequence opnTHORN.