摘要
利用MH凸函数与凸函数的关系,证明了MH凸函数单侧导数的存在性和单调性,并通过不等式建立了MH凸函数与其单侧导数的联系.从MH凸函数的定义和基本性质出发,用普通数学分析的方法建立了若干MH凸函数的不等式,并证明了若干与MH凸函数有关的函数的单调性.
With the aid of relationship between MH-convex functions and convex functions,the existence and monotonicity of unilateral derivatives of MH-convex functions are proved,and the relation between MH-convex function and its unilateral derivative is established through inequalities. Starting from the definition and basic properties of MH-convex functions,integral inequalities for MH-convex functions are obtained by using mathematical analysis,and the monotonicities of several functions related to MH-convex functions are proved.
出处
《广东第二师范学院学报》
2016年第3期23-29,共7页
Journal of Guangdong University of Education
关键词
MH凸函数
积分不等式
单调性
单侧导数
MH-convex function
integral inequality
monotonicity
unilateral derivative
