摘要
本文利用仿射函数的逼近方法,在Hilbert空间中定义了凸函数的闭包函数的概念.在凸函数的闭包函数的基础上,利用凸包函数的概念,引进了非凸函数的闭包函数的概念,并讨论了它们的若干性质.
This paper presents that the closure function of convex func-tion in Hilbert space is definied by affine function approximation.On the ba-sis of closure function of convex function,closure function of nonconvex func-tion is introduced by concept of convex hull function.Some properties ofclosure function of convex function and nonconvex function are discussed.
关键词
凸函数
非凸函数
闭包函数
convex function
affine function
low semi-continuous function
convex hull function
closure function
