拉格朗日中值定理

A new way to prove Lagrange´s mean value theorem is given using the theorem of interval nest.

应用区间套定理给出了拉格朗日中值定理一个新的证明。

Secondly, the Lagrange mean value theorem in some proof of identity and the inequality in a wide range of applications.

其次，拉格朗日中值定理在一些等式和不等式的证明中应用十分广泛。

The paper sums up the application of Lagrange mean theorem in five aspects in high mathematics, and give an example to illustrate its application.

总结了高等数学中拉格朗日中值定理五个方面的应用，并举例加以说明。

This paper deals with the forms of higher order of Cauchy′s mean value theorem, from which the author draws an inference of the forms of higher order of Lagrange′s mean value theorem.

本文论述柯西中值定理的高阶形式，并由此推出拉格朗日中值定理的高阶形式。

This paper gives the new method to prove the cauchy mean value theorem which also may be deduced from the Lagrange mean value theorem.

给出柯西中值定理的一个新的证法，说明柯西中值定理也可由拉格朗日中值定理导出。