# Hermite-Hadamard's Type Inequalities on a Ball

## TL;DR

This paper develops new inequalities related to Hermite-Hadamard for functions defined on a ball in space, extending classical results to a geometric setting.

## Contribution

It introduces trapezoid and mid-point type inequalities for Hermite-Hadamard inequalities on a ball, expanding the scope of these inequalities.

## Key findings

- Derived new trapezoid type inequalities
- Established mid-point type inequalities
- Extended Hermite-Hadamard inequalities to a geometric setting

## Abstract

Some trapezoid and mid-point type inequalities related to the Hermite-Hadamard inequality for the mappings defined on a ball in the space are obtained.