摘要
本文借助于一元函数左、右导数的定义及其性质 ,将多元函数的方向导数转化为一元函数的左、右导数 ,并利用一元函数的凸性判别准则给出并证明了判别多元函数凸性的充分必要条件 .
In this paper, we change the directional derivative of function of many variables into the left derivative and the progressive derivative of function of one variable with the help of the definition and the property of function of one variable. The necessary and sufficient condition for the convexity of nonsmooth function of many variables is given and proved by using the criterion of the convexity of function of one variable.
出处
《数学的实践与认识》
CSCD
北大核心
2002年第1期75-78,共4页
Mathematics in Practice and Theory
