摘要
利用行列式的性质,给出了多函数对称式含高阶导数的柯西中值定理,减弱了柯西中值定理的条件.
This paper is concerned with the extended Cauchy's mean value theorem. By means of the properties of determinant, some extended Cauchy' s mean value theorems are obtained. Which is symmetric and contains many functions with high order derivative, the conditions of classical Cauchy's mean value theorem is weakened.
出处
《大学数学》
2013年第4期110-112,共3页
College Mathematics
基金
广东省教育科研十二五规划项目(2011TJK468)
关键词
柯西中值定理
多函数
对称式
高阶导数
Cauchy's Mean Value Theorem
many functions
symmetric expression
high order derivative