二元Jensen不等式的应用  

The Application of Two-variable Jensen Inequality

作　　者：郑发美[1] ZHENG Fa-mei(School of Mathematical Science, Huaiyin Normal University, Huaian Jiangsu 223300, Chin)

机构地区：[1]淮阴师范学院数学科学学院,江苏淮安223300

出　　处：《淮阴师范学院学报（自然科学版）》2017年第4期298-301,共4页Journal of Huaiyin Teachers College;Natural Science Edition

摘　　要：研究Jensen不等式的应用,介绍了二元凸函数的定义及两个性质,然后给出Jensen不等式的二元及以上形式,最后运用二元Jensen不等式证明了一个重要的离散不等式.In this paper,we give a application of Jensen inequality. First,we introduce the definition of two-variable convex function and its properties. Then,we give two or more variables Jensen inequality. Finally,an important discrete inequality is proved by using the two-variable Jensen inequality.

关 键 词：JENSEN不等式 应用 离散不等式 

分 类 号：O172[理学—数学]