A new result on weighted arithmetic mean summability factors of infinite series involving almost increasing sequences

Abstract

In this paper, a known theorem dealing with weighted mean summability methods of non-decreasing sequences has been generalized for vertical bar A, p(n); delta vertical bar(k) summability factors of almost increasing sequences. Also, some new results have been obtained concerning vertical bar(N) over bar, p(n)vertical bar(k),( )vertical bar(N) over bar, p(n); delta vertical bar(k) and vertical bar C, 1; delta vertical bar(k) summability factors.