Some New Bounds for Mathieu's Series
Abdolhossein Hoorfar and Feng Qi
Source: Abstr. Appl. Anal. Volume 2007 (2007), 10 pages.
Abstract
Two upper and 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 $\zeta (3)$ are deduced.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.aaa/1204126596
Digital Object Identifier: doi:10.1155/2007/94854
Mathematical Reviews number (MathSciNet):
MR2345988
Abstract and Applied Analysis
