Hermite-Hadamard-Fejér Inequalities for Preinvex Functions on Fractal Sets

In this paper, for generalised preinvex functions, new estimates of the Fejér-Hermite-Hadamard inequality on fractional sets Rρ are given in this study. We demonstrated a fractional inte-gral inequalities based on Fejér-Hermite-Hadamard theory. We es-tablish two new local fractional integral identities for differentiable functions. We construct several novel Fejér-Hermite-Hadamard-type inequalities for generalized convex function in local fractional calculus contexts using these integral identities. We provide a few illustrations to highlight the uses of the obtained findings. Fur-thermore, we have also given a few examples of new inequalities in use.