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

Copyright © 2004 B. E. Rhoades and Ekrem Savaş. 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 obtain sufficient conditions for the series anλn to be absolutely summable of order k by a triangular matrix.