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

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 < \inft...

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Bibliographic Details
Published in:Journal of new results in science 2022-12, Vol.11 (3), p.182-189
Main Author: GÖKÇE, Fadime
Format: Article
Language:English
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Summary: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.
ISSN:1304-7981
1304-7981
DOI:10.54187/jnrs.1172611