Ostrowski type inequalities for functions whose derivatives are h-convex in absolute value

S. S. Dragomir

doi:10.12697/ACUTM.2015.19.13

S. S. Dragomir Mathematics, College of Engineering & Science, Victoria University, PO Box 14428, Melbourne City, MC 8001, Australia; School of Computational & Applied Mathematics, University of the Witwatersrand, Private Bag 3, Johannesburg 2050, South Africa

DOI: https://doi.org/10.12697/ACUTM.2015.19.13

Keywords: absolutely continuous functions, convex functions, integral inequalities, Ostrowski inequality, Lebesgue norms, h-convex functions

Abstract

Some new inequalities of Ostrowski type for functions whose derivatives are h-convex in modulus are given. Applications for midpoint inequalities are provided.

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