University of MaraghehSahand Communications in Mathematical Analysis2322-580720420230901Hermite-Hadamard-Fejér Inequalities for Preinvex Functions on Fractal Sets11713770581010.22130/scma.2022.559225.1156ENSikanderMehmoodDepartment of Mathematics, Govt. Graduate College Sahiwal, Pakistan.0000-0002-4042-4399FizaZafarCentre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60800, Pakistan.Journal Article20220727In this paper, for generalised preinvex functions, new estimates of the Fej\'{e}r-Hermite-Hadamard inequality on fractional sets $\mathbb{R}^{\rho }$ are given in this study. We demonstrated a fractional integral inequalities based on Fej\'{e}r-Hermite-Hadamard theory. We establish two new local fractional integral identities for differentiable functions. We construct several novel Fej\'{e}r-Hermite-Hadamard-type inequalities for generalized convex function in local fractional calculus<br />contexts using these integral identities. We provide a few illustrations to highlight the uses of the obtained findings. Furthermore, we have also given a few examples of new inequalities in use.https://scma.maragheh.ac.ir/article_705810_db12fd4fd110f4c8600ebea8ad634928.pdf