摘要
1987年J.M.Borvein和D.Preiss对凸函数的Frechet可微性和Gsteaux可微性的定义给予了推广。本文在以上工作基础上定义了β—可微空间和弱β—可微空间,并主要讨论了弱β—可微空间。对β—可微空间的讨论参看(3).
In this paper we discuss the β—differentiability of convex functions on Banaeh space, it is a generalization of Frechet differentiability and Gateaux differentiability. We define weak β—differentiable spaces and obtain one necessary and sufficient condition for a weak β—differentiable space.
出处
《江西教育学院学报》
1992年第4期39-43,共5页
Journal of Jiangxi Institute of Education
关键词
可微空间
BANACH空间
β—differentiability, β—differentiable space, weak β—differentiable space.