半严格凸函数的性质及应用  

The Characteristics and Applications of Semi-strictly Convex Function

作　　者：李艳[1] 

机构地区：[1]延安职业技术学院,陕西延安716000

出　　处：《延安职业技术学院学报》2015年第3期76-77,108,共3页Journal of Yan’an Vocational & Technical College

摘　　要：凸函数是一类重要的函数,它在凸分析和数学规划等学科中扮演着主要的角色,在不等式证明方面及其它各领域有着广泛的应用。本文在杨新民对半严格凸函数研究的基础上,给出了半严格上凸函数和半严格下凸函数的一些性质,研究了它们在不等式证明中的应用,并给出了若干例子。Convex function is a kind of important functions, which plays a major role in convex mathematical analysis andmathematical programming, and has a wide range of applications in the fields of inequality proof and other areas. On thebasis of Yang Xinmin＇s research on the semi-strictly convex function, some properties, inequality proof applications of theupper semi-strictly convex function and the lower semi-strictly convex function are researched. In addition, some examplesare given in this paper.

关 键 词：半严格凸函数 性质 不等式 应用 

分 类 号：O174.13[理学—数学]