Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 368275, 5 pages
doi:10.1155/2008/368275
Research Article
New Inequalities of Shafer-Fink Type for Arc Hyperbolic Sine
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.
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.