International Journal of Mathematics and Mathematical Sciences 
Volume 2004 (2004), Issue 69, Pages 3793-3797
doi:10.1155/S0161171204310173

A summability factor theorem for absolute summability involving almost increasing sequences

B. E. Rhoades1 and Ekrem Savaş2

 1Department of Mathematics, Indiana University, Bloomington 47405-7106, IN, USA
2Department of Mathematics, Yüzüncü Yil University, Van 65080, Turkey
Received 17 October 2003

Abstract

We obtain sufficient conditions for the series ∑anλn to be absolutely summable of order k by a triangular matrix.