International Journal of Mathematics and Mathematical Sciences
Volume 2008 (2008), Article ID 753632, 8 pages
Research Article

On Faster Convergent Infinite Series

Dušan Holý,1 Ladislav Matejíčka,1 and Ľudovít Pinda2

1Department of Physical Engineering of Materials, Faculty of Industrial Technologies in Púchov, Trenčín University of Alexander Dubček in Trenčíin, I. Krasku 491/30, Púchov 02001, Slovakia
2Faculty of Informatics , Univerzity of Economics, Dolnozemská 1, Bratislava 852 35, Slovakia

Received 12 July 2007; Revised 20 November 2007; Accepted 8 January 2008

Academic Editor: Laszlo Toth

Copyright © 2008 Dušan Holý et al. 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.


Suffcient conditions, necessary conditions for faster convergent infinite series, faster τ-convergent infinite series are studied. The faster convergence of infinite series of Kummer's type is proved.