Hermite-Hadamard-Mercer’s-type inequalities for h-convex function

In this paper, we prove significant results related to the Hermite-Hadamard-Mercer-type inequality for h-convex functions in the framework of Katugampola fractional integral operators. Also, we establish some novel fractional inequalities related to the right and left sides of Hermite-Hadamard-Mercer-type inequalities for differentiable mappings whose derivatives in absolute value are h-convex function. The findings in this research generalise a number of inequities identified in earlier studies.