A Note on Absolute Cesaro $\varphi-|C, 1; \delta; l|_k$ Summability Factor

Abstract

A positive non-decreasing sequence has been used to establish a theorem on a minimal set of sufficient conditions for an infinite series to be absolute Cesaro $\varphi-|C, 1; \delta; l|_k$ summable. For some well-known applications, suitable conditions have been applied on the presented theorem for obtaining the sub-result of the presented theorem.