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A mapping associated to h-convex version of the Hermite-Hadamard inequality with applications

A mapping associated to h-convex version of the Hermite-Hadamard inequality with applications

This paper deals with a real mapping L(t) related to the h -convex version of the Hermite-Hadamard inequality.In special cases some generalized form of the Hermite-Hadamard inequality for convex functions are obtained.Also, as an application some inequalities for special means are given.