微分中值定理的推广

Generalization of Differential Mean Value Theorem

文章引入Schwartz导数的概念,给出了一些Schwartz导数的性质,运用这些性质得出有关Schwartz导数的Rolle中值定理、Lagrange中值定理和Cauchy中值定理。

The concept of Schwartz derivative is introduced in this paper.Some propertie of Schwartz derivative are given and by using of these properties,Rolle mean value theorem,Lagrange mean value theorem and Cauchy mean value theorem of Schwartz derivative are gained.