摘要
利用AH凸函数与凸函数的关系,证明了AH凸函数单侧导数的存在性和单调性,并通过不等式建立了AH凸函数与其单侧导数的联系.从AH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AH凸函数的不等式.
With the relationship between convex functions and AH-convex functions,the existence and the monotonicity of the unilateral derivatives of AH-convex functions are proved, and the relation between AH-convex function and its derivative is established through inequalities. From the definition and the basic properties of AH-convex functions,integral inequalities for AH-convex functions are obtained by ordinary mathematical analysis.
出处
《杭州师范大学学报（自然科学版）》
CAS
2016年第3期307-311,共5页
Journal of Hangzhou Normal University(Natural Science Edition)
关键词
AH凸函数
积分不等式
单侧导数
AH-convex function
integral inequality
unilateral derivative
