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 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。
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。
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。
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