International Journal of Mathematics and Mathematical Sciences
Volume 2011 (2011), Article ID 493531, 13 pages
http://dx.doi.org/10.1155/2011/493531
Research Article

Generalization of Some Simpson-Like Type Inequalities via Differentiable s-Convex Mappings in the Second Sense

Department of Mathematics, Hanseo University, Seosan-Si, Chungnam-Do 356-706, Republic of Korea

Received 31 March 2011; Accepted 24 June 2011

Academic Editor: Jewgeni Dshalalow

Copyright © 2011 Jaekeun Park. 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

The author obtained new generalizations and refinements of some inequalities based on differentiable 𝑠 -convex mappings in the second sense. Also, some applications to special means of real numbers are given.