摘要
将凸函数的概念推广到多元函数,并在有二阶连续偏导数的条件下得到了判定函数为凸函数的一个充分条件,同时证明了蕴含这个条件的一个更广泛的不等式。
The concept of convex is adopted in the function of several variables and the condition to determine whether a function is a convex function has been obtained under the condition that there exist the continuous partial derivatives of the second order. Meanwhile, it also has been proved that the more generalized inequality contains such a condition.
关键词
凸函数
多元函数
充分条件
convex function of several variables, inequality, positive definte quadratic form
