Necessary and sufficient conditions under which convergence follows from summability by weighted means

We prove necessary and sufficient Tauberian conditions for sequences summable by weighted mean methods. The main results of this paper apply to all weighted mean methods and unify the results known in the literature for particular methods. Among others, the conditions in our theorems are easy conseq...

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Bibliographic Details
Main Authors: Ferenc Móricz, Ulrich Stadtmüller
Format: Article
Language:English
Published: Wiley 2001-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171201006688
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