罗尔中值定理条件的减弱

The Weakening of the Conditions in Rolle's Theorem of Mean Value

罗尔中值定理是微分学基本定理的基础,通过对罗尔定理的分析和讨论,对其条件限制的弱化,得到更多条件下的广义罗尔中值定理,由此对罗尔中值定理进行了相应的推广.

Rolle＇s theorem of mean value constitutes the basis for the principles of differential calculus. Based on the discussion and the analysis of Rolle＇s theorem and through the weakening of the conditions,this paper is intended to find out a more general theorem of mean value under more conditions so as to publicize and further spread the use of it.