Hermite-Hadamard type inequalities via \((h,m)\)-convexity

In this paper, we establish a novel Hermite-Hadamard inequality for \((h,m)\)-convex functions using Riemann--Liouville fractional integral operators, right and left. Furthermore, some new Hermite--Hadamard type fractional integral inequalities are proved for differentiable functions whose first derivative is \((h,m)\)-convex. We demonstrate that these newly established integral inequalities generalize some existing results.