Abstract. In this article, we extend some estimates of Simpson-like and Hermite-Hadamard-like type integral inequalities for functions whose second twice derivatives in absolute value at certain powers are preinvex and prequasiinvex.

Received: June 5, 2012

AMS Subject Classification: 26D10, 26D15, 26A51

Key Words and Phrases: Simpson inequality, Hadamard inequality, invex set, preinvexity

Download paper from here.