International Journal of Mathematics and Mathematical Sciences
Volume 2008 (2008), Article ID 753632, 8 pages
doi:10.1155/2008/753632
On faster convergent infinite series
Dušan Holý1
, Ladislav Matejíčka1
and Ľudovít Pinda3
1Department of Physical Engineering of Materials, Faculty of Industrial Technologies in Púchov, Tren {c}ín University of Alexander Dub {c}ek in Tren {c}íin, I. Krasku 491/30, Púchov 02001, Slovakia
3Faculty of Informatics , Univerzity of Economics, Dolnozemská 1, Bratislava 852 35, Slovakia
Abstract
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.