A new result for weighted arithmetic mean summability factors of infinite series involving almost increasing sequences
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چکیده
منابع مشابه
A summability factor theorem for absolute summability involving almost increasing sequences
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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W. T. Sulaiman Department of Computer Engineering, College of Engineering, University of Mosul, Mosul, Iraq Correspondence should be addressed to W. T. Sulaiman, [email protected] Received 5 November 2010; Accepted 19 January 2011 Academic Editor: Paolo E. Ricci Copyright q 2011 W. T. Sulaiman. This is an open access article distributed under the Creative Commons Attribution License, whi...
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A weighted mean matrix, denoted by (N , pn), is a lower triangular matrix with entries pk/Pn, where {pk} is a nonnegative sequence with p0 > 0, and Pn := ∑n k=0 pk. Mishra and Srivastava [1] obtained sufficient conditions on a sequence {pk} and a sequence {λn} for the series ∑ anPnλn/npn to be absolutely summable by the weighted mean matrix (N , pn). Bor [2] extended this result to absolute sum...
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ژورنال
عنوان ژورنال: Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics
سال: 2019
ISSN: 1303-5991
DOI: 10.31801/cfsuasmas.546583