A new factor theorem for absolute matrix summability

Abstract

In this paper, we have extended a known theorem dealing with | Ñ, p_n | k summability factors to the |A, p_n | k summability under weaker conditions by using an almost increasing sequence.

Mathematics Subject Classification (2010): 26D15, 40D15, 40F05, 40G99.

Keywords: Absolute matrix summability, almost increasing sequences, Hölder inequality, infinite series, Minkowski inequality