摘要
用连续函数的性质证明了积分第一中值定理结论中的介点可在开区间内取得 ,得到了积分第一中值定理的推广 ,并且把它推广到了多维的情形 ;
In this paper,using property of continuous function,we proved that intermediate value point of first integral intermediate value theoren's conclusion could be obtained in open interval.By this result,we obtained generalization of first integral intermediate value theorem and generalized it to multidimensional situation.We gave some applications of generalized theorem,and discussion of its condition.
关键词
积分第一中值定理
介点
开区间
连续函数
Generalization of first integral intermediate value theorem
Intermediate value point
Application
Discussion of the theorem's condition
