International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 41-44, 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
          
          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.