Convergence of p -series revisited with applications

Elom K. Abalo and Kokou Y. Abalo

International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-8

Abstract:

We construct two adjacent sequences that converge to the sum of a given convergent p -series. In case of a divergent p -series, lower and upper bounds of the ( k n ) th partial sum are constructed. In either case, we extend the results obtained by Hansheng and Lu (2005) to any integer k ≥ 2 . Some numerical examples are given.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:053408

DOI: 10.1155/IJMMS/2006/53408

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