Matrix transformations from absolutely convergent series to convergent sequences as general weighted mean summability methods

Jinlu Li

International Journal of Mathematics and Mathematical Sciences, 2000, vol. 24, 1-6

Abstract:

We prove the necessary and sufficient conditions for an infinity matrix to be a mapping, from absolutely convergent series to convergent sequences, which is treated as general weighted mean summability methods. The results include a classical result by Hardy and another by Moricz and Rhoades as particular cases.

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:210147

DOI: 10.1155/S0161171200003732

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