On the weighted generalization of Hermite-Hadamard type Inclusions for interval-valued convex functions

Abstract

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