%0 Journal Article
%T Hermite-Hadamard-Fejér Inequalities for Preinvex Functions on Fractal Sets
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Mehmood, Sikander
%A Zafar, Fiza
%D 2023
%\ 09/01/2023
%V 20
%N 4
%P 117-137
%! Hermite-Hadamard-Fejér Inequalities for Preinvex Functions on Fractal Sets
%K Hermite-Hadamard-inequality
%K Hermite-Hadamard-Fejér inequality
%K Local fractional integral
%K Generalized Preinvex function
%R 10.22130/scma.2022.559225.1156
%X In 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 calculuscontexts 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.
%U https://scma.maragheh.ac.ir/article_705810_db12fd4fd110f4c8600ebea8ad634928.pdf