TY - JOUR
ID - 705810
TI - Hermite-Hadamard-Fejér Inequalities for Preinvex Functions on Fractal Sets
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Mehmood, Sikander
AU - Zafar, Fiza
AD - Department of Mathematics, Govt. Graduate College Sahiwal, Pakistan.
AD - Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60800, Pakistan.
Y1 - 2023
PY - 2023
VL - 20
IS - 4
SP - 117
EP - 137
KW - Hermite-Hadamard-inequality
KW - Hermite-Hadamard-Fejér inequality
KW - Local fractional integral
KW - Generalized Preinvex function
DO - 10.22130/scma.2022.559225.1156
N2 - 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.
UR - https://scma.maragheh.ac.ir/article_705810.html
L1 - https://scma.maragheh.ac.ir/article_705810_db12fd4fd110f4c8600ebea8ad634928.pdf
ER -