HERMITE–HADAMARD INTEGRAL INEQUALITIES FOR LOG–CONVEX INTERVAL–VALUED FUNCTIONS ON CO–ORDINATES

HERMITE–HADAMARD INTEGRAL INEQUALITIES FOR LOG–CONVEX INTERVAL–VALUED FUNCTIONS ON CO–ORDINATES

M. A. Ali, G. Murtaza, H. Budak

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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.

Keywords

Interval–valued functions, Co-ordinated convex functions, Log co-ordinated convex functions and Hermite-Hadamard inequalities.