On Hermite-Hadamard type inequalities for harmonical $h$-convex interval-valued functions

Abstract

We introduce and investigate the concept of harmonical $h$-convexity for interval-valued functions. Under this new concept, we prove some new Hermite-Hadamard type inequalities for the interval Riemann integral.

Submitted 27-06-2018; Revised 22-10-2019; Accepted 15-11-2019; to Math. Inequal. Appl. [see http://mia.ele-math.com]