Some Hermite-Hadamard inequalities for strongly harmonic convex set-valued functions

TL;DR

This paper investigates new Hermite-Hadamard inequalities specifically for strongly harmonic convex set-valued functions, expanding the theoretical framework of convex analysis with set-valued functions.

Contribution

It introduces novel Hermite-Hadamard inequalities for strongly harmonic convex set-valued functions, a concept recently developed by G. Santana.

Findings

Established new inequalities for strongly harmonic convex set-valued functions.

Extended classical Hermite-Hadamard inequalities to the set-valued function context.

Provided theoretical results that could influence future research in convex analysis.

Abstract

This research aimed to explore some new Hermite-Hadamard inequalities for strongly harmonic convex set-valued functions with modulus c > 0 introduced by G. Santana