A note on four dimensional summability methods
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Abstract
Ishiguro studied some two dimensional summability methods in \cite{ki}. In this paper, we define the four dimensional Zweier matrix and extend the results given by Ishiguro \cite{ki} to four dimensional summability methods. We prove that an Abel summable double sequence is also summable the product of Abel and Zweier methods to the same limit. Besides this, we show the four dimensional Riesz and Zweier methods don't imply each other. In addition, we emphasize the four dimensional Zweier method implies the four dimensional Borel method.
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References
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