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

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.