IJPAM: Volume 80, No. 4 (2012)

New INTEGRAL INEQUALITIES FOR PRODUCTS OF
SIMILAR $s$-CONVEX FUNCTIONS IN THE FIRST SENSE

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


Abstract. In this article we define the class of $s^*$-convex functions in the first sense and establish new integral inequalities for products of differentiable $s^*$-convex functions in the first sense.

Received: August 25, 2012

AMS Subject Classification: 26A24, 26A51, 26B25, 26E15

Key Words and Phrases: convexity, $s$-convexity, Hadamard inequality, Pachpatte's inequality

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 80
Issue: 4