A Summability Factor Theorem for Quasi-Power-Increasing Sequences

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A Summability Factor Theorem for Quasi-Power-Increasing Sequences

Correspondence should be addressed to E. Savaş, [email protected] Received 23 June 2010; Revised 3 September 2010; Accepted 15 September 2010 Academic Editor: J. Szabados Copyright q 2010 E. Savaş. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work ...

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A triangle is a lower triangular matrix with all principal diagonal entriesbeing nonzero. Given an almost increasing sequence {Xn} and a sequence {λn} satisfying certain conditions, we obtain sufficient conditions for the series ∑ anλn to be absolutely summable of order k ≥ 1 by a triangle T . As a corollary we obtain the corresponding result when T is a weighted mean matrix. Theorem 1 of this ...

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ژورنال

عنوان ژورنال: Journal of Inequalities and Applications

سال: 2010

ISSN: 1029-242X

DOI: 10.1155/2010/105136