First, a new integral inequality based on quadratic terms is established.
首先，建立了一个基于二次型项的积分不等式。
This article analyses how to prove the stable integral inequality effectively while knowing the function is continuous and derivative.
文章针对被积函数是连续函数、可导函数的定积分不等式提出了几种有效的证明方法。
In this paper we shall discuss the criteria of stability for second-order linear nonautonomous, systems using the integral inequality.
本文所考虑的是二阶非定常系统稳定性的积分不等式判别法。
Optimal regulation rules and minimum economic loss for economic systems with an integral inequality constraint on the control of quadric performance are given.
对于具有控制积分不等式约束的二次型性能指标的经济系统给出了最优调节规律和最小的经济损耗。
This paper proposes a new method-integral inequality approach to discusses the condition of delay-dependent which can guarantees the stability of systems with state delay.
提出一种新的积分不等式方法，讨论线性时滞系统的时滞相关稳定性。
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 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。
This paper introduces some methods for proving the function inequality, integral inequality and differential middle value inequality which are frequently seen in the higher mathematics.
本文就高等数学中常见的函数不等式，积分不等式以及微分中值不等式给出了若干种证明方法。
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。
The part two general forms was derived with general integral average inequality and Some inequality was proved with this result was obtained above.
第二部分将通常的积分平均值不等式推广成一般形式，并利用它给出一些不等式的证明。
This paper displays the principle of using integral sum to prove inequality and the application of the principle.
给出了利用积分和证明不等式的原理以及积分和在不等式证明中的应用。
Here some applications of average value inequality on the proof of inequality and integral are presented.
本文研究了均值不等式在简化初等不等式证明及定积分等方面的一些应用。
In this paper, a delay integral in quality are established. Applying this inequality to study the stability of large scale neutral differential systems, some simple stability criterion are obtained.
本文首先建立起一个时滞积分不等式，然后，用这一不等式研究中立型微分大系统的稳定性，获得了简洁的稳定性充分准则。
This paper discusses the generating functions of monotony for the Power-Mean Inequality, Binary dimension power mean inequality and Binary integral power mean inequality.
给出了幂平均不等式及其推广、二维加权幂平均不等式等的构成函数，并讨论了它们的单调性。
The authors give the two-weight weak-type inequality for the rough fractional integral operator, which is an extension of result obtained by Cruz-Uribe and Perez.
作者得到了粗糙核分数次积分算子的两权弱型不等式，推广了Cruz-Uribe和Perez的结果。
By recursive method and Martingale method, we derive the integral equation for the survival probability and obtain the exponential inequality for the ruin probability.
本章主要通过递推方法和鞅方法得出生存概率所满足的积分方程以及破产概率上界。
This generalized inequality of the classic result can be used to estimate the integral value, or study the quality of the calculus.
这个不等式是经典结果的推广，它可被用来研究积分性质和用来做积分值的估计。
This generalized inequality of the classic result can be used to estimate the integral value, or study the quality of the calculus.
这个不等式是经典结果的推广，它可被用来研究积分性质和用来做积分值的估计。
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