Summability factor relations between absolute weighted and Nörlund

Abstract

By (U, V) we denote the set of all sequences ? = (?n) such that ??nan is summable V whenever ?an is summable U, where U and V are two summability methods. In this study, we get necessary and sufficient conditions for ? ? (|N, qn, ?n|k, |N, pn|) and ? ? (|N, pn|, |N, qn, ?n|k), where |N, pn| and |N, qn, ?n|k are absolute weighted and Nörlund summability methods, respectively. Thus, in the special case, some well known results are also deduced. © 2018 Author(s).