By increasing the condition of the integral mean value theorem, we prove that the existence of intermediate point and the existence of interval are corresponding to each other.
给出了积分中值定理的一个注记，证明了中值点的存在性与覆盖中值点的区间的存在性是相互对应的。
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。
In this article, the author has proved the theorem of "middle point" in the second integral mean value.
给出并证明了关于积分第二中值定理“中间点”的渐近性定理。
In this paper, a new proving of the mean value theorem of integral on surface is given, with some application in related cases presented.
对曲面积分中值定理，给出了一个新的证明，并举出相关例子加以应用。
Two kinds of generalizations of the first mean value theorem of integral for integrable functions with different properties are established in the paper, the results extend the previous conclusions.
本文建立了两类可积函数的积分第一中值定理的推广形式，推广了已有结论。
Finally, the condition and result of integral mean-value theorem are also improved combined with the Lagrange mean value theorem of differentials.
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。
In this paper, the author USES the contour integral in analytic function to functional analysis, and obtains the mean value theorem of operator-valued functions.
本文把复变函数的围道积分应用于泛函分析，对一般的线性闭算子得到了算子值函数的中值定理。
According to the theorem of integral mean value it is proved in this paper that by means of probability integral the subsidence equivalent curve is a circle or a ellipse.
文中还根据积分中值定理证明了应用概率积分法求得的下沉等值线是椭圆形或圆形。
Based on the integral inequality and other quality proved, the paper discusses the conclusion of the mid-value in theorem of integration mean which is got in open interval.
在证明了定积分不等式等性质的基础上，给出并证明了积分中值定理的中值在开区间内取得的结论。
This paper presents a generalization of mean value theorem for integrals and discusses the asymptotic properties of mean value of mean value theorem for integral.
对积分中值定理中间点的渐近性进行研究，给出了推广的积分第一中值定理的中间点的渐近性的一个公式。
This paper applies an integral upper limit functions to giving a method for the solution of the problems similar to those as the proven mean value theorem.
本文利用积分上限函数给出证明中值定理及类似问题的一种方法。
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.
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。
应用推荐