On Shafer-Fink Inequalities

On Shafer-Fink-Type Inequality

New Inequalities of Shafer-Fink Type for Arc Hyperbolic Sine

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 Correspondence should be addressed to Ling Zhu, [email protected] Received 29 December 2008; Revised 9 March 2009; Accepted 28 April 2009 Recommended by Sever Dragomir We give some generalizations of Shafer-Fink inequalities, and prove these inequalities by using a basic differen...

SHAFER–FINK TYPE INEQUALITIES FOR THE ELLIPTIC FUNCTION sn(u|k) A. MCD. MERCER

The inequalities of Shafer and Fink, namely, 3x 2 + √ 1 − x2 sin −1(x) πx 2 + √ 1 − x2 , x ∈ [0, 1) are generalized to similar inequalities for the elliptic function sn(u|k) .

On Shafer and Carlson Inequalities