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

Year 2024, Volume: 53 Issue: 2, 417 - 432, 23.04.2024

Yi Cao Jianmiao Ruan

https://doi.org/10.15672/hujms.1283922

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

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