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- A Simple Proof for the generalization of Cauchy mean value theorem is given. 给出Cauchy微分中值定理的推广的一个简单证明.
- On the proof of the Cauchy mean value theorem,we give a simple method of construction for an auxiliary function. 关于Cauchy中值定理的证明,我们给出辅助函数的一个简单的构造方法。
- In the first part of the paper,the another form of Cauchy mean value theorem is studied. 本文的第一部分研究了Cauchy中值定理的另一种形式。
- This paper deduces an asymptotic property for the "median point" of Cauchy Mean value Theorem by adopting the Taylor Formula and the Law of L?Hospital. 利用泰勒公式和洛必塔法则 ,推得柯西中值定理“中间点”的一个渐近性质
- In the second part of the paper, the generalization of Cauchy mean value theorem is discussed and its weak form is given. 本文的第二部分讨论了Cauchy中值定理的推广,并给出了它的弱形式。
- We present a general method to prove a class of problems by Rolle's theorem,which need make tricky function by Langrange or Cauchy mean value theorem,and point out our method is feasible for these problems. 提出罗尔定理证明一类存在性问题的方法;采用拉格朗日中值定理或柯西中值定理来证明这类问题往往需要构造精巧的辅助函数;我们还指出了这种方法的一般性.
- This paper proves the converse propositions of the higher order Cauchy Mean Value Theorem and higher order Lagrange Mean Value Theorem under concave and convex function and strictly concave and convex function. 在函数凹凸和严格凹凸的条件下 ,文章引出并证明了高阶Cauchy中值定理和高阶Lagrange中值定理的 4个逆命题。
- This paper provides an inference of Rolle mean value theorem and a new structure method of auxiliary function so as to prove Lagrange mean value theorem and Cauchy mean value theorem. 文章给出罗尔中值定理的一个推论及给出辅助函数新的构造方法,来证明拉格朗日中值定理和柯西中值定理。
- Note on Cauchy Mean Value Theorem of Integral Type 积分型Cauchy中值定理的一个注记
- Another Proof for Cauchy Mean Value Theorem Cauchy中值定理的又一证法
- Generalization of Cauchy Mean Value Theorem CAUCHY微分中值定理的推广
- Generalized expression of Cauchy mean value theorem Cauchy中值定理的一般形式
- The Note for the Cauchy Mean Value Theorem 关于柯西中值定理的一个注记
- Cauchy mean value theorem of integral type 积分型Cauchy中值定理
- Vector Form of Cauchy Mean Value Theorem and Its Generalization 哥西中值定理的矢量形式及其推广
- Asymptotics of"Mean Point"in Cauchy Mean Value Theorem 关于Cauchy中值定理“中值点”的渐近性
- Generalized Cauchy Mean Value Theorem and It's Converse Theorem 广义Cauchy中值定理及其逆定理
- A NOTE ON THE CAUCHY MEAN VALUE THEOREM OF TWO-VARIABLE FUNCTIONS 二元函数柯西中值定理的一个注记
- A Note on the Mean Point in Cauchy Mean Value Theorem 关于Cauchy中值定理“中值点”的一个注记
- A Simple Proof for the Generalization of Cauchy Mean Value Theorem Cauchy微分中值定理的推广的一个简单证明
