微分中值定理是微分学的基本定理。
Differential medial value theorem is the basic theorem of the calculus.
以微分中值定理的教学探讨数学模式教学观具有积极意义。
Teachers should establish the concept of models, using the mathematical model to guide and organize mathematics teaching. They should show the vivid p…
由此可见罗尔微分中值定理可以是实数的完备性的直接推论。
This implies that Rolles Theorem is the direct consequence of completeness of real numbers.
针对对称导数、对称偏导数，给出了一些新形式的微分中值定理。
In this paper, symmetric derivative and symmetric partial derivative are researched and some new differential mean value theorems are defined.
本文将实分析中的微分中值定理推广到复分析中，得到了相应的结果。
In this paper, the differential mean value theorem of real analysis is extended to the complex analysis and correspondence results are obtained.
最后，结合拉格朗日微分中值定理改进了积分中值定理的条件和结论。
Finally, the condition and result of integral mean-value theorem are also improved combined with the Lagrange mean value theorem of differentials.
本文给出了一元函数Cauchy微分中值定理在多元函数中的推广。
This paper gives an extending of Cauchy's mean-value theorem on functions of several variables.
给出了微分中值定理的一个推广形式，并将所得结果应用于凸函数性质的研究。
This article gives a spreading form of the mean value theorem of differential and applies the gained results to the quality of convex function.
构造辅助函数是利用微分中值定理解决问题的关键，构造辅助函数的方法较多。
Constructing auxiliary functions is the key in using differential mean value theorem to solve problems; there are many methods for constructing auxiliary functions.
以分割区域d为基础将解析函数与共轭解析函数的微分中值定理推广到高阶形式。
Basing on a partition of region d, we generalize the differential mean-value theorems for analytic functions and conjugate analytic functions to a high order case.
本文指出了有关微分中值定理“中间点”的渐近性四篇文章的结果中的错误，并给予修正。
This paper points out and revises some errors in the results found in four articles concerning the asymptotic behavior of the "Intermediate points" of the mean value theorem.
给出了拉格朗日微分中值定理和第一积分中值定理中值点的渐进性的更一般性的结果及其简洁证明。
Gives more general results on the gradualness of the median point of Lagranges median theorem and first median theorem for integrals and its succinct proof.
本文利用定积分的性质、微分中值定理、施瓦兹不等式、二重积分等内容，研究了积分不等式的四种证法。
This article explores the four ways for solving integral inequality with the nature of definite integral, mean value theorem of differentials, Schwarz inequality and double integral.
本文利用切比雪夫积分不等式和微分中值定理，对所谓的双参数拓广平均的单调递增性给出一种简单的证明。
In the article, a simple and elementary proof of monotonicity is given for the so-called extended mean values using Tchebycheff s integral inequality and the mean-value theorem for differential.
本文利用切比雪夫积分不等式和微分中值定理，对所谓的双参数拓广平均的单调递增性给出一种简单的证明。
In the article, a simple and elementary proof of monotonicity is given for the so-called extended mean values using Tchebycheff s integral inequality and the mean-value theorem for differential.
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