Elom K. Abalo, Kokou Y. Abalo, "Convergence of -series revisited with applications", International Journal of Mathematics and Mathematical Sciences, vol. 2006, Article ID 053408, 8 pages, 2006. https://doi.org/10.1155/IJMMS/2006/53408
Convergence of -series revisited with applications
We construct two adjacent sequences that converge to the sum of a given convergent -series. In case of a divergent -series, lower and upper bounds of the th partial sum are constructed. In either case, we extend the results obtained by Hansheng and Lu (2005) to any integer . Some numerical examples are given.
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