The aim of this paper is to establish some new Hermite–Hadamard type inequalities for harmonic h-convex functions involving hypergeometric functions. We also discuss some new and known special cases, which can be deduced from our results. The ideas and techniques of this paper may inspire further research in this field. In recent years, much attention have been given to theory of convexity beca...

This article is organized as follows: First, definitions, theorems, and other relevant information required to obtain the main results of are presented. Second, a new version Hermite–Hadamard inequality proved for F-convex function class using fractional integral operator introduced by Katugampola. Finally, Hermite–Hadamard-type inequalities given with help F-convexity.

In this paper, firstly we give weighted Jensen inequality for interval valued functions. Then, by using inequality, establish Hermite-Hadamard type inclusions interval-valued Moreover, obtain some of co-ordinated convex These are generalizations results given in earlier works.