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  • Research Article
  • Open Access

New Inequalities of Shafer-Fink Type for Arc Hyperbolic Sine

Journal of Inequalities and Applications20082008:368275

  • Received: 2 July 2008
  • Accepted: 17 November 2008
  • Published:


In this paper, we extend some Shafer-Fink-type inequalities for the inverse sine to arc hyperbolic sine, and give two simple proofs of these inequalities by using the power series quotient monotone rule.


  • Power Series
  • Simple Proof
  • Full Article
  • Publisher Note
  • Hyperbolic Sine

Publisher note

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Authors’ Affiliations

Department of Mathematics, Zhejiang Gongshang University, Hangzhou, 310018, China


© Ling Zhu. 2008

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.