Journal of Inequalities and Applications
Volume 2009 (2009), Article ID 705317, 6 pages
doi:10.1155/2009/705317
Research Article

Generalizations of Shafer-Fink-Type Inequalities for the Arc Sine Function

Wenhai Pan and Ling Zhu

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

Received 29 December 2008; Revised 9 March 2009; Accepted 28 April 2009

Academic Editor: Sever Dragomir

Copyright © 2009 Wenhai Pan and 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

We give some generalizations of Shafer-Fink inequalities, and prove these inequalities by using a basic differential method and l'Hospital's rule for monotonicity.