Generalizations of the Hermite-Hadamard type inequalities for functions whose derivatives are <i>s</i>-convex

M. W. Alomari; S. S. Dragomir; U. S. Kirmaci

doi:10.12697/ACUTM.2013.17.14

M. W. Alomari Department of Mathematics, Faculty of Science, Jadara University
S. S. Dragomir Mathematics, School of Engineering and Science, Victoria University, Australia; School of Computational and Applied Mathematics, University of the Witwatersrand, South Africa
U. S. Kirmaci Atatürk University, K. K. Education Faculty, Department of Mathematics,

DOI: https://doi.org/10.12697/ACUTM.2013.17.14

Keywords: s-Convex function, Hermite-Hadamard's inequality, trapezoid inequality

Abstract

Some new results related to the right-hand side of the Hermite- Hadamard type inequality for the class of functions whose derivatives at certain powers are s-convex functions in the second sense are obtained.

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