jnrs

Journal of New Results in Science

1304-7981

Tokat Gaziosmanpasa University

10.54187/jnrs.1172611

Mathematical Sciences

Matematik

On double summability methods $\left| \mathcal{A}_{f}\right| _{k}$ and $\left| C,0,0\right|_{s}$

https://orcid.org/0000-0003-1819-3317

Gökçe

Fadime

PAMUKKALE ÜNİVERSİTESİ

12 31 2022

11 3 182 189 09 08 2022 10 31 2022

2012

Journal of New Results in Science

Recently, for single series, the necessary and sufficient conditions for $\left\vert C,0\right\vert\Rightarrow \left\vert A_{f}\right\vert_{k}$ and vise versa, and $\left\vert A_{f}\right\vert \Rightarrow \left\vert C,0\right\vert_{k}$ and vise versa have been established, where $1 < k < \infty $ and $A$ is a factorable matrix. The present study extends these results to double summability, and also provides some new results.

Double series Factorable matrix Absolute Ces$\grave{a}$ro summability

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