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1)  the best approximation order
最佳逼近阶
1.
We not only prove that the new operator converges to arbitrary continuous functions with period 2π uniformly on the whole axis,but also obtain the best approximation order simultaneously.
不仅证明了新算子在整个实轴上一致收敛于任意以2π为周期的连续函数,同时还得到了算子的最佳逼近阶
2)  order of the best approximation
最佳逼近的阶
3)  Best approximation
最佳逼近
1.
The best approximation in β-normed space;
赋β-范空间上的最佳逼近
2.
Some equivalence relations between some best approximationsand some best approximate elements in the Besov space;
Besov空间中的一些最佳逼近与最佳逼近元之间的等价关系
3.
The average error bounds of best approximation of continuous functions on the Wiener spaces was investgated.
讨论了Wiener空间上连续函数最佳逼近平均误差界的阶,它由概率测度及其所支撑的集合上其函数的结构性质决定。
4)  optimal approximation
最佳逼近
1.
Solutions of a class matrix equations and its optimal approximation;
一类矩阵方程组的求解问题及其最佳逼近
2.
An iterative method for the least squares solutions of a pair of matrix equations and its optimal approximation;
矩阵方程组的最小二乘解及其最佳逼近的迭代算法
3.
Two categories solution of the quaternion matrix equation AX+YA=C and its optimal approximation;
四元数矩阵方程AX+YA=C的两种最佳逼近解
5)  the best approximation
最佳逼近
1.
So the best approximation algorithm in this domain,which can draw the mini-max solution of the frequency deviation,is introduced in this paper.
为此,在频率控制领域首次引入了最佳逼近算法,它能给出频率偏差的最小-最大解。
2.
In the primary theorems about common fixed points and the best approximation on the weakly compact set,it was assumed that the affine mapping I was strongly(or weakly) continuous when T was I-nonexpansive.
在已有的弱紧集上的公共不动点与最佳逼近定理中,当T是I非扩张时,一般都假设仿射映射I是强(或弱)连续的。
3.
This article focuses on the topics that by connecting the the least-squares Minimization with the functional abstract space, the abstract definition of the best approximation problem is abtained.
把计算方法中的最小二乘法与泛函的抽象空间联系起来,得到最佳逼近问题的抽象提法,并在赋范线性空间探讨最小二乘法。
6)  the optimal approximation
最佳逼近
1.
This paper mainly showed that the existence of and the expressions for the general solution of a kind of constrained matrix equation problem and the optimal approximation for bi-symmetric matrix under an unleaded principle submatrix,based on the generalized singular value decomposition and the minimum principle.
利用广义奇异值理论和极值理论研究了非顺序主子阵约束下的双对称矩阵的一类约束矩阵方程问题及其最佳逼近,给出了解的表达式。
2.
In this paper,the constrained matrix equationproblem and the optimal approximation in solution set for any given matrix aresystematically studied for one class of symplectic orthogonal matrices and one classof symplectic matrices like I2n.
本篇硕士论文分别讨论了一类正对角线为正交矩阵块的辛正交阵的约束矩阵方程问题及其最佳逼近和一类形如I2n ? wwTJ的辛矩阵约束矩阵方程问题及其最佳逼近。
补充资料:逼近阶


逼近阶
approximation order

  逼近阶!aPp印xim拓佣耐er;.酬山~.州阳皿,} 逼近误差的阶,它作为一个变量依赖于某个连续的或离散的变量:,而:又与另一变量甲(T)相关,甲闰的性态通常假定是已知的‘一般地,:是一个参量,它表示逼近集的数值特征(如集合的大小)或逼近方法的数值特征(如插值步骤).此外,:值所组成的集可能有一个有穷或无限的极限奴.函数价(动常常是一个幂函数,指数函数或对数函数.被逼近函数(或它的某个导数)的连续模(modulusof①ntinulty)或其控制函数可看作价介) 逼近方法的性质及被逼近对象的性质(例如,被逼近函数的差分微分性质)确定了逼近阶,见函数通近,正定理和逆定理(approximation of funCtions,direCtand inverse theoren一s). 在数值分析中,如果某个数值方法产生的误差为口(h勺,则称指数。为其逼近阶,其中h为此方法所采用的步长.
  
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