International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 44, Pages 2371-2376
doi:10.1155/S0161171204303510

Quasi β-power increasing sequences

H. Bor1 and L. Debnath2

1Department of Mathematics, Erciyes University, Kayseri 38039, Turkey
2Department of Mathematics, University of Texas – Pan American, Edinburg 78539, TX, USA

Received 1 March 2003; Revised 20 October 2003

Copyright © 2004 Hindawi Publishing Corporation. 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 is properly cited.

Abstract

We prove a theorem of Mazhar (1999) on |N¯,pn|k summability factors under weaker conditions by using a quasi β-power increasing sequence instead of an almost increasing sequence.