Open Access Research

Refinement of an integral inequality

Ling Zhu

Author Affiliations

Department of Mathematics, Zhejiang Gongshang University, Hangzhou, Zhejiang 310018, P. R. China

Journal of Inequalities and Applications 2012, 2012:103 doi:10.1186/1029-242X-2012-103

Published: 4 May 2012

Abstract

In this study, we generalize and sharpen an integral inequality raised in theory for convex and star-shaped sets and relax the conditions on the integrand.

Mathematics Subject Classification (2000): 26D15

Keywords:
lower and upper bounds; refinement of an integral inequality; a monotone form of l'Hospital's rule; Mitrinović-Pečarić inequality