摘要
本文证明了凸函数概念的一些等价形式；归纳了凸函数的连续性及可微性结论，得到了规划论中有用的极值命题；推证了简化多元凸函数讨论的命题３·１．
in this paper, the author proves some equivalent forms of convex function definition, summarizes continuous and differential properties of convex function, obtains some useful results in mathematical programming, and verifies proposition 3. 1 about simplifying discussion of multi-variabe convex function.
出处
《长沙铁道学院学报》
CSCD
1994年第3期88-92,共5页
Journal of Changsha Railway University
关键词
凸函数
连续
可微
极值
convex function, continuous, differential, extreme value
