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Keywords
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Hermite-Hadamard inequalities, functional inequalities, m-
convex functions, quasi-convex functions, special means, convex func-
tions, Holder inequality, power-mean inequality.
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Abstract
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In this paper, we give some inequalities for di erentiable convex
functions which are connected with the Hermite-Hadamard's integral inequality
holding for convex functions. Also, we obtain some estimates to the right-hand
side of Hermite-Hadamard inequality for functions whose absolute values of
fourth derivatives raised to positive real powers are m-convex. Finally, some
natural applications to special means of real numbers are given.
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