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2007 Some New Bounds for Mathieu's Series
Abdolhossein Hoorfar, Feng Qi
Abstr. Appl. Anal. 2007: 1-10 (2007). DOI: 10.1155/2007/94854

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 ζ ( 3 ) are deduced.

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Abdolhossein Hoorfar. Feng Qi. "Some New Bounds for Mathieu's Series." Abstr. Appl. Anal. 2007 1 - 10, 2007. https://doi.org/10.1155/2007/94854

Information

Published: 2007
First available in Project Euclid: 27 February 2008

zbMATH: 1156.26007
MathSciNet: MR2345988
Digital Object Identifier: 10.1155/2007/94854

Rights: Copyright © 2007 Hindawi

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