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A Generalization of a Theorem of Móricz and Rhoades on Weighted Means

P.N. Natarajan — 2012

Commentationes Mathematicae

In this paper,we prove a theorem which gives an equivalent formulation of summability by weighted mean methods. The result of Hardy [1] and that of Móricz and Rhoades [2] are special cases of this theorem. In this context, it is important to note that the result of Móricz and Rhoades is valid even without the assumption p n P n 0 as n .

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