一道二阶中值等式的别证与推广

A New Way of Solving Second Order Mean-value Equality and Its Popularization

数学分析中许多含有中值的相关结论需要灵活运用中值定理进行证明,辅助函数的构造极为重要。因此,给出了辅助函数构造的一种新方法,利用此方法证明并推广一道二阶中值等式。

In the mathematical analysis, structuring auxiliary function in many conclusions about mean - value problems, and proving them is very important by using mean -value theorem. In this paper, therefore, we give a new way of structuring auxiliary function, in this way, we prove and opularizate a Second Order mean - value equality.