Some remarks on faster convergent infinite series

A structure on terms of faster convergent series is studied in the paper. Necessary and sufficient conditions for the existence of faster convergent series with different types of terms are found. A faster convergence criteria for certain Kummer’s series is proved in this paper.

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Bibliographic Details
Published in:Mathematica Slovaca 2012-08, Vol.62 (4), p.785-804
Main Authors: Holý, Dušan, Matejíčka, Ladislav, Pinda, Ľudovít
Format: Article
Language:English
Subjects:
Algebra
faster convergent series
Mathematics
Mathematics and Statistics
Primary 65B10
Secondary 40A10
terms of convergent series
Online Access:Get full text
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Description
Summary:A structure on terms of faster convergent series is studied in the paper. Necessary and sufficient conditions for the existence of faster convergent series with different types of terms are found. A faster convergence criteria for certain Kummer’s series is proved in this paper.
ISSN:0139-9918
1337-2211
DOI:10.2478/s12175-012-0045-6