On the absolute Nörlund summability factors of infinite series

On absolute Nörlund summability factors

Characterization on Some Absolute Summability Factors of Infinite Series

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.

On absolute generalized Norlund summability of double orthogonal series

In the paper [Y. Okuyama, {it On the absolute generalized N"{o}rlund summability of orthogonal series},Tamkang J. Math. Vol. 33, No. 2, (2002), 161-165] the author has found some sufficient conditions under which an orthogonal seriesis summable $|N,p,q|$ almost everywhere. These conditions are expressed in terms of coefficients of the series. It is the purpose ofthis paper to extend this result...

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...

On Generalized Nörlund Summability Factors of Infinite Series

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