IJPAM: Volume 80, No. 4 (2012)

HERMITE-HADAMARD-LIKE AND SIMPSON-LIKE TYPE
INTEGRAL INEQUALITIES VIA $\varphi$-CONVEXITY

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


Abstract. In this article, we obtain some Hermite-Hadamard-like and Simpson-like type integral inequalities for functions whose derivatives in absolute value at certain powers are $\varphi$-convex.

Received: August 12, 2012

AMS Subject Classification: 26D10, 26A51

Key Words and Phrases: Hermite-Hadamard inequality, Simpson's inequality, $\varphi$-convexity

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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