On Faster Convergent Infinite Series

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.

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Main Authors: Dušan Holý, Ladislav Matejíčka, Ľudovít Pinda
Format: Article
Language:English
Published: Wiley 2008-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2008/753632
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author Dušan Holý
Ladislav Matejíčka
Ľudovít Pinda
author_facet Dušan Holý
Ladislav Matejíčka
Ľudovít Pinda
author_sort Dušan Holý
collection DOAJ
description 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.
format Article
id doaj-art-db2b7ac0fc0a4df88356dda4f77db5d0
institution DOAJ
issn 0161-1712
1687-0425
language English
publishDate 2008-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-db2b7ac0fc0a4df88356dda4f77db5d02025-08-20T03:06:05ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252008-01-01200810.1155/2008/753632753632On Faster Convergent Infinite SeriesDušan Holý0Ladislav Matejíčka1Ľudovít Pinda2Department of Physical Engineering of Materials, Faculty of Industrial Technologies in Púchov, Trenčín University of Alexander Dubček in Trenčíin, I. Krasku 491/30, Púchov 02001, SlovakiaDepartment of Physical Engineering of Materials, Faculty of Industrial Technologies in Púchov, Trenčín University of Alexander Dubček in Trenčíin, I. Krasku 491/30, Púchov 02001, SlovakiaFaculty of Informatics , Univerzity of Economics, Dolnozemská 1, Bratislava 852 35, SlovakiaSuffcient 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.http://dx.doi.org/10.1155/2008/753632
spellingShingle Dušan Holý
Ladislav Matejíčka
Ľudovít Pinda
On Faster Convergent Infinite Series
International Journal of Mathematics and Mathematical Sciences
title On Faster Convergent Infinite Series
title_full On Faster Convergent Infinite Series
title_fullStr On Faster Convergent Infinite Series
title_full_unstemmed On Faster Convergent Infinite Series
title_short On Faster Convergent Infinite Series
title_sort on faster convergent infinite series
url http://dx.doi.org/10.1155/2008/753632
work_keys_str_mv AT dusanholy onfasterconvergentinfiniteseries
AT ladislavmatejicka onfasterconvergentinfiniteseries
AT ludovitpinda onfasterconvergentinfiniteseries