Abstract. In this paper, a new identity for differentiable functions is derived. Thus we can obtain new estimates on generalization of Hadamard,Ostrowski and Simpson type inequalities for functions whose derivatives in absolute value at certain power are s-convex (in the second sense). Some applications to special means of real numbers are also given.

Received: May 5, 2013

AMS Subject Classification: 26A51, 26D15

Key Words and Phrases: Hermite-Hadamard inequality, Simpson type inequality, Ostrowski type inequality, trapezoid type inequality, midpoint type inequality, s-convex function

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