On |A|ksummability factors of infinite series
نویسندگان
چکیده
منابع مشابه
q|k Summability Factors of Infinite Series
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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A general theorem concerning some absolute summability factors of infinite series is proved. This theorem characterizes as well as generalizes our previous result [4]. Other results are also deduced.
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In this paper we have proved a theorem on generalized Nörlund summability Factors of infinite series , which generalizes various known results. However our theorem is as follows : Theorem : Let {p n } be a non-negative and non-increasing, {x n } is a positive non-decreasing sequence and { n } is a positive decreasing sequence such that
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ژورنال
عنوان ژورنال: Proceedings of the Estonian Academy of Sciences
سال: 2010
ISSN: 1736-6046
DOI: 10.3176/proc.2010.3.02