A Recent Note on Quasi-Power Increasing Sequence for Generalized Absolute Summability

Abstract

We prove two theorems on vertical bar A,delta vertical bar(k), k >= 1,0 <= delta < 1/k, summability factors for an infinite series by using quasi-power increasing sequences. We obtain sufficient conditions for Sigma a(n)lambda(n) to be summable vertical bar A,delta vertical bar(k), k >= 1, 0 <= delta < 1/k, by using quasi-f-increasing sequences. Copyright (C) 2009 E. Savas, and H. Sevli.