海南师范大学学报：自然科学版2012，Vol.25Issue(1)：5-8,4.
E-凸函数的一些新性质
Some New Properties of An E-Convex Function
摘要
Abstract
In Ref.1, Youness introduced a class of sets and a class of functions called E-convex sets and E-convex functions by relaxing the definitions of convex sets and convex functions. In Ref.2, Duca and Luspa gave some properties of E-convex functions using two notions of epigraph（epiE（f） and epiE （f））. In this paper, on the basis of the results obtained in Ref.2, some new characterizations of E-con- vex functions are discussed under a relatively weak convexity condition.关键词
E-凸集/E-凸函数/几乎凸集/上方图/松驰2-凸集Key words
E-convex set/E-convex function/nearly convex set/epigraph/slack2-convex set分类
数理科学引用本文复制引用
周密..E-凸函数的一些新性质[J].海南师范大学学报：自然科学版,2012,25(1):5-8,4.基金项目
海南省自然科学基金资助项目 （）
