Hermite-Hadamard type inequalities for $(p,h)$-convex functions on $\\mathbb{R}^n$

Authors : Yi Cao, Jianmiao Ruan

Pages : 417-432

Doi:10.15672/hujms.1283922

View : 131 | Download : 178

Publication Date : 2024-04-23

Article Type : Research Paper

Abstract :In this paper, the concept of the $(p,h)$-convex function is introduced, which generalizes the $p$-convex function and the $h$-convex function, and Hermite-Hadamard type inequalities for $(p,h)$-convex functions on $\\mathbb{R}^n$ are established. Furthermore, some mappings related to the above inequalities are studied and some known results are generalized.
Keywords : the p convex set, the p, h convex function, Hermite Hadamard type inequalities, mapping