Hermite–Hadamard type inequalities for m -convex and \(( \alpha , m)\) -convex functions

[摘要] In this paper, some new inequalities of the Hermite–Hadamard type for the classes of functions whose derivatives’ absolute values are m-convex and $( \alpha , m) $-convex are obtained. The results obtained in this work extend and improve the corresponding ones in the literature. Some applications to special means of real numbers are also given.

[学科分类] 电力

[关键词] m -convex function;\(( \alpha;m) \) -convex function;Hermite–Hadamard type inequalities;Integral inequalities