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Some New Bounds for Mathieu's Series

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  • Abdolhossein Hoorfar
  • Feng Qi

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.

Suggested Citation

  • Abdolhossein Hoorfar & Feng Qi, 2007. "Some New Bounds for Mathieu's Series," Abstract and Applied Analysis, Hindawi, vol. 2007, pages 1-10, October.
    • Handle: RePEc:hin:jnlaaa:094854
    DOI: 10.1155/2007/94854
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