摘要
在E凸集上,引进E凸函数,定义了广义实值函数的方向导数即沿给定方向的变化率.得到了E凸函数方向导数的特征定理;利用特征定理.得到了E凸函数方向导数的性质.
Using definition of Direction derivative of E-convex functions, it is obtained that characteristic theorem of Direction derivative of E-convex functions and applying this theorem it is obtained that some properties of Direetion derivative of E-convex functions which are verified.
出处
《吉林师范大学学报(自然科学版)》
2009年第1期15-18,共4页
Journal of Jilin Normal University:Natural Science Edition
基金
国家自然科学基金资助项目(10671057)
关键词
E凸函数
方向导数
有效域
可微
E-convex function
Direction derivative
effective domain
gateaux differentible