Absolute Summability Factors Related to the Summability Method

Abstract

By (??, ??), we denote the set of all sequences ?? such that ? ???????? is summable ??whenever ? ???? is summable ?? where ?? and ?? are two summability methods. In this study,applying the main theorems in (Gökçe and Sarıgöl, 2018) to summability factors, wecharacterize the sets (|???, ????, ??|(??), |???, ????|) and (|???, ????, ??|(??), |???, ????, ??|(??)). Also, in thespecial case, we get some well-known results