Absolute ... formula ... summability of infinite series

摘要

In this paper, we established a generalized theorem on a minimal set of sufficient conditions for absolute summability factors by applying a sequence of a wider class (quasi-power increasing sequence) and the absolute Cesàro φ − |C, α, β; δ|k summability for an infinite series. We further obtained well-known applications of the above theorem as corollaries, under suitable conditions.