A matrix application of quasi-monotone sequences to Fourier series

TL;DR

This paper extends summability theory by applying quasi-monotone sequences to Fourier series, broadening the scope of matrix methods in mathematical analysis.

Contribution

It generalizes a key theorem on weighted mean summability for absolute matrix summability using quasi-monotone sequences, advancing theoretical understanding.

Findings

Extended the main theorem to include quasi-monotone sequences

Provided new conditions for matrix summability of Fourier series

Enhanced the applicability of summability methods in analysis

Abstract

In this paper, we have generalized a main theorem dealing with weighted mean summability method for absolute matrix summability method which plays a vital role in summability theory and applications to the other sciences by using quasi-monotone sequences. The main result in this paper extends the results in