(p, m)-凸函数及其Hermite-Hadamard型不等式
(p, m)-Convex Function and Its Hermite-Hadamard Type Inequality
DOI: 10.12677/PM.2023.1312378, PDF,    科研立项经费支持
作者: 罗佳月, 余梦清, 苏凌仟：衡阳师范学院数学与统计学院，湖南 衡阳
关键词: 凸函数；(p； m)-凸函数；Hermite-Hadamard型不等式；Convex Function； (p； m)-Convex Function； Hermite-Hadamard Type Inequality
摘要: 本文定义了一类(p, m)-凸函数，给出了两个判定此类函数的充要条件，推导了与之相关的 Hermite-Hadamard型不等式，并将其应用到中学数学教学的具体场景中。
Abstract: A class of (p, m)-convex functions are defined. Then, two necessary and sufficient conditions are given to judge this kind of function. Moreover, a Hermite-Hadamard type inequality on the (p, m)-convex functions is derived. At last, two application cases of middle school mathematics teaching are given.
文章引用：罗佳月, 余梦清, 苏凌仟. (p, m)-凸函数及其Hermite-Hadamard型不等式[J]. 理论数学, 2023, 13(12): 3646-3652. https://doi.org/10.12677/PM.2023.1312378

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