Factor relations between some summability methods

Year 2021, Volume: 3 Issue: 2, 70 - 74, 30.12.2021

Mehmet Ali Sarıgöl

https://doi.org/10.47086/pims.1016103

Abstract

In the present paper, using the result of Bennett [1] on characterization of factorable matrices, we give necessary and sufficient conditions in order that Σλ_{n}x_{n} is summable |R,p_{n}|_{s} whenever Σμ_{n}x_{n} is summable |C,0|_{k}, and Σλ_{n}x_{n} is summable |C,0|_{s} whenever Σμ_{n}x_{n} is summable |R,p_{n}|_{r},. where 1

Keywords

Infinite series , Riesz and Cesàro mean , summability factors , matrix transformations , bounded linear operator

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