Hermite-Hadamard Type Inequalities for Interval (<i>h</i>₁, <i>h</i>₂)-Convex Functions

Abstract

We introduce the concept of interval ( h 1 , h 2 ) -convex functions. Under the new concept, we establish some new interval Hermite-Hadamard type inequalities, which generalize those in the literature. Also, we give some interesting examples.

Keywords

• Hermite-Hadamard inequality
• interval-valued functions
• (<i>h</i>₁, <i>h</i>₂)-convex