mean value theorem

This paper proves that the point ζ must be in the open interval ( a, b) under the conditions same as in the first mean value theorem of integrals, and gives some applications of the above results.

文章在第一积分中值定理的条件下，证明了介值点ξ必可在开区间（a，b）内取得，并且给出以上结果的一些应用。

Some Apply of Local Mean Value Theorem for Complex Analytic Functions

局部复中值定理的一些应用

An Application of Integral Upper Limit Functions to the Mean Value Theorem

积分上限函数在中值定理中的应用

The Extension of the Differentiable Mean Value Theorem in Infinite Interval

微分中值定理在无穷区间的推广

Inverse Problems of Differential Mean Value Theorem for Convex Function

凸函数的微分中值定理的反问题

A numerical method based on mean value theorem

应用平均值定理的一种数值方法

The Mean Value Theorem of Integrate of Curve and Surface

曲线积分与曲面积分中值定理

On inverse problem of the Mean Value Theorem for integral and its approachability

积分中值定理的逆问题及渐近性

Three Methods of Constructing Auxiliary Functions When Using Differential Mean Value Theorem

应用微分中值定理构造辅助函数的三种方法

Two Deductive Forms and the Unified Structure of Lagrange Mean Value Theorem

拉氏中值定理的两种推广形式及其统一结构

Rolle's theorem is a special case of the mean value theorem.

罗尔定理是中值定理的一种特殊形式.

Asymptotic Formula of Intermediate Value in Generalized Mean Value Theorem

广义微分中值定理中间值的渐近性公式

By using the limit theorem, the authors discuss and prove conclusions of asymptotic property of mean point in second mean value theorem for integrals in concessional terms believing that they will take an important effect in integral.

利用极限理论，给出并证明了减弱条件的积分第二中值定理中值点的渐近性的几个结论，相信在积分学中有着很重要的作用。

A Theorem of the Mean Value Asymptotic Behavior of the Mean Value Theorem for Integrals Again

积分中值定理的中值渐近性的又一定理

At the same time, Hungary mathematician Konig generalized Stieltjes integral accidentally in the course of researching the second mean value theorem in Riemann integral.

几乎同时，匈牙利数学家柯尼克在研究R-积分第二中值定理时，在不经意之中推广了S-积分。

Natural element method based on the mean value theorem and point integration and its procedures

基于平均值定理和点积分方案的自然单元法及其程序实现

Extended differential mean value theorem of a family of functionals

泛函族的广义微分中值定理

Mean value theorem in the vibration problem of elasticity

弹性振动问题的中值定理

A try of teaching differential mean value theorem by the methods of analysis and synthesis

分析综合法讲授微分中值定理的一种尝试

A More Universal Result on the Intermediate Point in the Mean Value Theorem for First Form Curve Integrals

关于曲线积分中值定理中间点的一个一般性结果

Mean Value Theorem of small examples.

中值定理的小例子.

On Converse proposition of Higher Order Differential Mean Value Theorem

关于高阶微分中值定理的逆命题