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

TL;DR

This paper introduces harmonical h-convexity for interval-valued functions and establishes new Hermite-Hadamard type inequalities for their interval Riemann integrals, expanding the theoretical framework of convexity in interval analysis.

Contribution

It presents a novel concept of harmonical h-convexity for interval-valued functions and derives new inequalities, extending classical convexity results to this broader context.

Findings

New inequalities for interval Riemann integrals

Extension of Hermite-Hadamard inequalities to harmonical h-convex functions

Introduction of harmonical h-convexity concept

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.