Some New Bounds for Mathieu's Series
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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 | Historical > 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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