Some integral inequalities of Hermite-Hadamard type for functions whose derivatives of $n$-th order are $(\alpha ,m)$-convex

Abstract

In the paper, the authors find some new integral inequalities of Hermite-Hadamard type for functions whose derivatives of the $n$-th order are $(\alpha ,m)$-convex and deduce some known results. As applications of the newly-established results, the authors also derive some inequalities involving special means of two positive real numbers.

10 pages

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• Hermite-Hadamard type integral inequalities for functions whose first derivatives are of convexity