B-空间上凸函数的若干指数性质

Some Properties of Exponent for Convex Function on Banach Spaces

本文引入且用次梯度集刻划 Banach空间上凸函数的上、下指数 ,得到共轭凸函数上、下指数间的完整共轭关系、正齐次凸函数是 Minkovski规函数的幂等结果 。

In this paper, the upper exponent and lower exponent of convex function on Banach spaces are introduced, some results concerning exponent of convex function are obtained, the results in special case of one dimensional be regards as special example of this paper.