Banach空间上共轭凸函数的指数共轭性

CONJUGATE PROPERIES OF EXPONENT FOR CONJUGATE CONVEX FUNCTION ON BANACH SPACE

本文得到Ｂａｎａｃｈ空间凸锥上共轭凸函数上、下指数之间一组完整的共轭性质，给出由范数导出的正ｐ次凸函数与由共轭范数导出的正ｑ次凸函数之间的关系。

In this paper,the complete conjugate properties about the upper and lower exponents for mutual conjugate convex function on convex cone in Banach space are obtained,a relation between positive p order homogeneous convex function derived form norm and positive q order homogeneous convex function derived form conjugate norm.