查询词典 cauchy inequality

In this paper, we generalized the reverse Shebyshev inequality and obtained the integral inequality of two vector function s, whose monotone of correspondence elements is reverse.

推广了反向Chebyshev不等式，得到了对应分量的单调性相反的连续向量函数的积分不等式和模的单调性相反的连续向量函数的积分不等式。

To fill this gap, the enhanced Poincaré inequality was obtained by considering the additional conservation law of momentum and by rigorous estimate of integral inequality.

为解决这个差异，利用周期带域上的Eady模型的动量守衡的性质，通过变分方法和积分的精细估计，建立一个加强的Poincairé积分不等式，从而证明了Eady模型的线性稳定意味着非线性稳定。

By solving theintegral inequality without impulses on each interval between two adjacent impulsive points, the solution of impulsive integral inequality is obtained step by step.

讨论了一个一般的脉冲积分不等式，利用两个邻近脉冲点间每个小区间上无脉冲积分不等式的解，一步步导出了脉冲积分不等式的解。

By solving the interval inequality without impulses on each interval between two adjacent impulsive points, the solution of impulsive integral inequality is obtained step by step.

讨论了一个一般的脉冲积分不等式，利用两个邻近脉冲点间每个小区闭上无脉冲积分不等式的解，一步步导出了脉冲积分不等式的解。

For the admissible time-delay as well as non-linear disturbances, an time-delay integral transformation and a matrix inequality method are developed. The design of observer and stability of error systems can be represented as a matrix inequality, matrix of observer gain and condition of global asymptotically stable of error systems are obtained. An example is included to illustrate the pratical applicability of the proposed theory.

对于允许的时滞和非线性干扰，利用一个变换和不等式技巧，将观测器的设计，误差方程的稳定性归结为一个矩阵不等式，给出了观测器增益阵的解析式和误差方程全局渐近稳定的条件，一个例子说明了所提定理的可行性。

This paper considers weighted estimate s of polynomial operator spectra by using the methods of integral,Rayleigh theorem and Schwartz inequality and establishes the inequality of upper bound of the(n+1) spectrum by depending on the former n spectra and the estimated coefficient is independent of the measure of the domain.

考虑多项式算子谱的带权估计，利用分部积分、Rayleigh定理、Schwartz不等式等方法，建立了用前n个谱来估计第n+1个谱的上界的不等式，且其估计系数与区域度量无关。

This article is divided into several categories of questions, focus on a typical example of the Lagrange Mean Value Theorem to prove the application of the inequality summarized in the hope that readers can better grasp the Lagrange mean value theorem in the inequality in the application of skills .

本文将题型分成几类，集中典型例题，对拉格朗日中值定理在不等式证明的应用中进行归纳总结，希望读者能够更好的掌握拉格朗日中值定理在不等式中的应用技巧。

This article will write divides into several kinds, the centralism typical sample question, carries on the induction to the Lagrange theorem of mean in the application which the inequality proved to summarize, hoped that the reader can better grasp the Lagrange theorem of mean in the inequality application skill.

本文将题型分成几类，集中典型例题，对拉格朗日中值定理在不等式证明的应用中进行归纳总结，希望读者能够更好的掌握拉格朗日中值定理在不等式中的应用技巧。

Also we try to establish the -type weighted inequality for the minimal operator, but unlike the maximal operator, the inequality holds trivially.

我们还给出极小算子的混合加权模不等式，即型不等式，但结论是平凡的，这与极大算子的情况完全不同。

A discrete weighted Hardy inequality is studied, and by proving a refinement lemma, the characterization of the weight sequence ｛ω_｝_(n≥1) in order that the weighted l~-Hardy inequality holds for all nonnegative and nonincreasing sequence c_ is given.

本文研究离散的加权Hardy不等式，通过建立权序列的加细引理，给出了对任何非负非增数列 lp-加权Hardy不等式成立时权序列{ωn}n≥1的特征刻划。

It is a big day for us,' said the chief executive.

"今天对我们来说是一个伟大的日子。"

When i just finished my tea, they already annouced the arrival of Chitose Airport.

到了千岁机场，拿了行李走到外面等我们的巴士。