New variations of power increasing sequences

TL;DR

This paper extends a key theorem in summability theory to absolute matrix summability using quasi-f-power sequences, enhancing the mathematical framework for analyzing convergence and summability.

Contribution

It introduces a generalization of a main theorem to absolute matrix summability employing quasi-f-power sequences, broadening the scope of summability methods.

Findings

Generalized main theorem to absolute matrix summability

Utilized quasi-f-power sequences for broader applicability

Enhanced understanding of summability in mathematical analysis

Abstract

The aim of this paper is to generalize a main theorem concerning weighted mean summability to absolute matrix summability which plays a vital role in summability theory and applications to the other sciences by using quasi-$f$-power sequences.