Hermite–Hadamard integral inequalities for log–convex interval–valued functions on co–ordinates

Abstract

In this paper, we give the notion of interval-valued log–convex functions on the co-ordinates on the rectangle from the plane. We establish Hermite-Hadamard and related inequalities for these classes of functions. Our results are refinements of several existing results in the field of Hermite-Hadamard inequalities. Some examples are also given to justify our new results.