Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 368275, 5 pages
Research Article

New Inequalities of Shafer-Fink Type for Arc Hyperbolic Sine

Ling Zhu

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

Received 2 July 2008; Revised 25 September 2008; Accepted 17 November 2008

Academic Editor: Martin J. Bohner

Copyright © 2008 Ling Zhu. 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.


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.