# Some Hermite-Hadamard type inequalities in the class of hyperbolic p-convex functions

## TL;DR

This paper introduces new Hermite-Hadamard type inequalities for p-hyperbolic convex functions using fractional integrals, extending classical inequalities within this specific convexity class.

## Contribution

It presents novel Hermite-Hadamard and Hermite-Hadamard-Fejer inequalities for p-hyperbolic convex functions derived through fractional integrals.

## Key findings

- New inequalities for p-hyperbolic convex functions
- Simplification of inequalities as consequences of Hermite-Hadamard-Fejer inequality
- Extension of classical convexity inequalities

## Abstract

In this paper, obtained some new class of Hermite-Hadamard and Hermite-Hadamard-Fejer type inequalities via fractional integrals for the p-hyperbolic convex functions. It is shown that such inequalities are simple consequences of Hermite-Hadamard-Fejer inequality for the p-hyperbolic convex function.