| 浅析多元凸函数的分析学性质 |
| |
| 引用本文： | 李兵方,胡水玲.浅析多元凸函数的分析学性质[J].安康学院学报,2011,23(3):87-88. |
| |
| 作者姓名： | 李兵方 胡水玲 |
| |
| 作者单位： | 陕西铁路工程职业技术学院基础课部,陕西渭南,714000 |
| |
| 摘 要： | 在微积分范畴内,对多元凸函数的分析学性质进行了讨论.利用詹森不等式,证明了多元凸函数可微的一个充要条件是其偏导数存在.
|
| 关 键 词： | 凸函数 偏导数 可微 |
Analysis on the Properties of Multi-Variables Convex Function |
| |
| LI Bingfang,HU Shuiling.Analysis on the Properties of Multi-Variables Convex Function[J].Journal of Ankang Teachers College,2011,23(3):87-88. |
| |
| Authors: | LI Bingfang HU Shuiling |
| |
| Institution: | LI Bingfang,HU Shuiling(Department of Basic Course,Shaanxi Railway Institute,Weinan 714000,Shaanxi,China) |
| |
| Abstract: | This paper deeply discussed the properties of multi-variables convex function in category of Calculus.It was proved that a sufficient and necessary condition of differentiability of multi-variables convex function is its partial derivatives existing.The method is based on Jensen inequality. |
| |
| Keywords: | convex function partial derivative differentiability |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
