Some New Bounds for Mathieu's Series

Hoorfar, Abdolhossein and Qi, Feng (2007) Some New Bounds for Mathieu's Series. Research report collection, 10 (1).

Abstract

In the paper, an upper bound and two lower bounds for Mathieu’s series are established, which refine to a certain extent a sharp double inequality obtained by Alzer-Brenner-Ruehr in 1998. Moreover, the very closer lower and upper bounds for ζ(3) are deduced.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17586
Subjects Current > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords inequality, Mathieu's series, zeta function, lower bound, upper bound
Citations in Scopus 7 - View on Scopus
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