首先，建立了一个基于二次型项的积分不等式。
First, a new integral inequality based on quadratic terms is established.
研究具有状态积分不等式约束的线性二次控制问题。
This paper deals with the linear-quadratic control problem with an inequality constraint on the state integration.
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。
In this paper we shall discuss the criteria of stability for second-order linear nonautonomous, systems using the integral inequality.
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。
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.
在一定的条件下给出了两个含参数的积分不等式，其误差估计是最佳的。
Two integral inequalities with a parameter whose estimation of errors is best were given under certain conditions.
给出了凸函数的一个积分性质的推广，并由此得到了凸函数的几个积分不等式。
An integral property of the convex function is generalized, and the some integral inequalities of the convex function are given.
研究了拟常曲率流形中具有平行平均曲率向量的子流形，给出了两个积分不等式。
We study the submanifolds with parallel mean curvature vector in a manifold of quasi constant curvature, and give two integrate inequalities.
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。
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。
This article was to offer the method about the complex function's differentiable and holomorphic.
利用时滞脉冲积分不等式，给出了一类非线性的脉冲时滞微分方程的解有界性的充分条件。
Sufficient conditions for boundedness of solutions of nonlinear delay differential equations with impulses are established by using impulsive integral inequalities with a deviation.
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。
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.
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。
Optimal regulation rules and minimum economic loss for economic systems with an integral inequality constraint on the control of quadric performance are given.
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。
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.
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.
本文研究了伪黎曼空间型中具有常平均曲率的类空子流形，得到了这类空子流形的一个积分不等式及刚性定理。
This paper discusses the space-like submanifolds with constant mean curvature in a pseudo-Riemannian space form, and obtain an integrate inequality and a rigidity theorem.
讨论局部对称空间中具有平行平均曲率向量的子流形，得到其关于第二基本形式模长平方的积分不等式的相关定理。
This paper discusses submanifolds with parallel mean curvature vector in local symmetric Spaces and obtains integral invariants about the square of modulus-length.
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。
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.
本文以两个自变量的拟线性双曲型方程的古尔沙问题为例，应用反函数和积分不等式证明了等价积分方程组解的存在唯一性，同时给出了解的存在区域和已知参量的依赖关系。
In this paper, we show the domain of the existence of the solution on Goursat problem for quasi—linear hyperbolic equation and obtain the Theorem of the existence and uniqueness in above domain.
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。
The part two general forms was derived with general integral average inequality and Some inequality was proved with this result was obtained above.
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。
This paper displays the principle of using integral sum to prove inequality and the application of the principle.
对满足一类新的含反常积分非线性不等式的有界函数建立了先验逐点估计。
Apriori point-wise estimations are established for bounded functions satisfying a new class of nonlinear inequalities involving improper integrals.
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。
Here some applications of average value inequality on the proof of inequality and integral are presented.
给出圆盘上的一些双弦幂积分公式，并由此获得一些重要的性质及双弦幂积分的一些不等式。
In this paper, we calculate the double chord-power integrals on circular disk, and arrive at some important properties and inequalities of the double chord-power integrals.
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。
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.
本文把有限个数的调和、几何、算术加权平均值不等式推广到无穷多个数的形式和广义积分的形式。
In this paper, we prove the infinite weighted mean inequalities. Furthermore, some results are established in infinite integral case.
利用凸函数或微积分中二阶导数符号可以直接给出一连串不等式。
That is, a succession of inequations can be obtained directly by using convex functions or quadratic derivative symbols in calculous.
利用微分和积分方法证明了几个幂指函数不等式。
The limit problem of power exponent function is common but difficult in differential and integral 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。
This generalized inequality of the classic result can be used to estimate the integral value, or study the quality of the calculus.
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