ON ABSOLUTE MATRIX SUMMABILITY FACTORS OF INFINITE SERIES AND FOURIER SERIES

Abstract

In this paper, a known theorem on $\left|\bar{N},p_{n}\right|_{k}$ summability factors of infinite series have been generalized for $\varphi-\left|A,p_{n}\right|_{k}$ summability factors. Using this theorem, some new results dealing with Fourier series have been obtained.

Keywords

• Summability factors,absolute matrix summability,Fourier series,infinite series,H\"{o}lder inequality.

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