A new result on matrix summability factors of Fourier series

Ş. Yildiz

Department of Mathematics, Kırşehir Ahi Evran University, Kırşehir, Turkey

Abstract: Sulaiman [10] has investigated absolute weighted mean summability theorems for numerical and Fourier series. In the present paper, we have extended the result of Sulaiman to the $|A, p_n|_k$ summability method. Also some new and known results are obtained by using some basic summability methods.

Keywords and phrases: summability factors, absolute matrix summability, numerical series, Fourier series, Hölder's inequality, Minkowski's inequality, sequence space.

MSC: 26D15, 40D15, 40F05, 40G99, 42A24, 46A45

Received: 11.04.2016
Revised: 12.02.2018

Language: English

DOI: 10.32523/2077-9879-2019-10-1-80-88

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