On inclusion relations for absolute summability

B. E. Rhoades and Ekrem Savaş

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 32, 1-10

Abstract:

We obtain necessary and (different) sufficient conditions for a series summable | N ¯ , p n | k , 1 < k ≤ s < ∞ , to imply that the series is summable | T | s , where ( N ¯ , p n ) is a weighted mean matrix and T is a lower triangular matrix. As corollaries of this result, we obtain several inclusion theorems.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:829416

DOI: 10.1155/S0161171202012425

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