摘要
给出并证明了Ｂａｎａｃｈ空间中具正齐性的连续凸函数在一点Ｇａｔｅａｕｘ可微与Ｆｒéｃｈｅｔ可微的充要条件．
With X being a point in Banach space and f(x) being a positive homogeneous continuous convex function of x. Sufficient and necessary conditions for f (x) being Gateaux and Fréchet differentiable have been provided and proved.
出处
《广西师范大学学报（自然科学版）》
CAS
1997年第2期19-24,共6页
Journal of Guangxi Normal University:Natural Science Edition
关键词
可微性
正齐性
连续凸函数
巴拿赫空间
norm-ω continuity
norm-norm continuity
Gateaux differentiability
Frechet differentiability
