On absolute matrix summability factors of infinite series

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 matrix summability of orthogonal series

In this paper, we prove two theorems on ∣A∣k, 1 ≤ k ≤ 2, summability of orthogonal series. The first one gives a sufficient condition under which an orthogonal series is absolutely summable almost everywhere, and the second one, is a general theorem, which also gives a sufficient condition so that an orthogonal series is absolutely summable almost everywhere, but it involves a positive numerica...

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 absolute matrix summability methods