多元函数介值定理的推广

Generalization of Multivariate Function Intermediate Value Theorem

介值定理是数学分析的一个重要定理,对研究函数方程根的存在性、不动点和积分中值定理等问题起到重要作用。在多元函数中推广介值定理,并且将只有第一类间断点的函数的介值定理推广运用到积分中值定理中,推广了文[4]的结论。

The intermediate value theorem is an important theorem in mathematical analysis and is important for problems of the existence of functional equation root, fixed point and the integral mean value theorem. This paper established intermediate value theorem＇s spread in multivariate function, and applied the generalization of function only with the first class breakpoint to the generalization of integral mean value theorem, and generalized the results of article [4].