IJPAM: Volume 82, No. 5 (2013)

HERMITE-HADAMARD-LIKE TYPE INEQUALITIES
FOR $(\alpha,m)$-CONVEX AND $S$-CONVEX FUNCTIONS

Jaekeun Park
Department of Mathematics
Hanseo University
Seosan, Chungnam, 356-706, KOREA


Abstract. In this article, a generalized lemma which help us to formulate some integral inequalities of Hermite-Hadamard-like type for functions whose $q$-powers of the absolute values of second derivatives are $(\alpha,m)$-convex and $s$-convex in the second sense is given.

Received: December 3, 2012

AMS Subject Classification: 26A24, 26A51, 26D15

Key Words and Phrases: convexity, $(\alpha,m)$-convexity, $s$-convexity, Hadamard inequality

Download paper from here.


DOI: 10.12732/ijpam.v82i5.8 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 82
Issue: 5