Open Access

New Inequalities of Shafer-Fink Type for Arc Hyperbolic Sine

Journal of Inequalities and Applications20082008:368275

DOI: 10.1155/2008/368275

Received: 2 July 2008

Accepted: 17 November 2008

Published: 25 November 2008

Abstract

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.

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Authors’ Affiliations

(1)
Department of Mathematics, Zhejiang Gongshang University

Copyright

© 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.