IJPAM: Volume 78, No. 5 (2012)
FOR FUNCTIONS WHOSE SECOND DERIVATIVES
IN ABSOLUTE VALUES AT CERTAIN
POWERS ARE -CONVEX
Department of Mathematics
Seosan, Chungnam, 356-706, KOREA
Abstract. In this article a general integral identity for twice differentiable mappings is derived. By using this result, the author establish some new Hermite-Hadamard-like type and Simpson-like type inequalities for twice differentiable -convex mappings in the second sense.
Received: December 3, 2011
AMS Subject Classification: 26A51, 26B25, 26E15
Key Words and Phrases: -convexity, Simpson inequality, integral means
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395