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1)  best approximation deviation
最佳逼近偏差
2)  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。
3)  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
4)  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。
5)  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。
6)  best approximating
最佳逼近
1.
In this paper, we construct a tensor product space W21(R)(?)W21(R) which has a reproducingkernel, and give the best approximating Ln* for {(xi, yi)}ni=1(?)R2 of following form of bounded linear functional L in the space W21(R)(?)W21(R).
构造了具有再生核的张量积空间W_2~1(R)(?)W_2~1(R),利用再生核与算子张量积方法,讨论了W_2~1(R)(?)W_2~1(R)空间中界线性泛函L,当{f(xi,yi)}_(i=1)~n已知时,形如L(f)=(?)wif(xi,yi)的最佳逼近Ln*,当{(xi,yi)}∞i=1在R2中稠密时,有limn→∞||L-Ln*||=0,由此得到数值积分公式。
2.
We also have discussed the best approximating operator and the best approximation of the linear functionals.
本文主要讨论了再生核空间W_2~m[a,b]再生核的构造与计算,以及最佳逼近算子和线性泛函的最佳逼近,同时我们在两个特殊的再生核空间中讨论了微分方程边值问题数值解法。
3.
In this paper we have discussed the best approximating operator and the best approximating of bounded linear operator in H01[a,b] and H1[a,+∞).
本文主要讨论了索伯列夫空间H~1[a,+∞)与H_0~1[a,b]中的最佳逼近算子和有界线性算子的最佳逼近。
补充资料:逼近函数的偏差


逼近函数的偏差
deviation of an approxmating function

  通近函数的偏差【山血位扣of ana即.油加tiI犯如‘丘.;yoo.e。。e np:6二:狱a沁川e‘中y。二明。。1 逼近函数g〔K和一个给定函数f任叨之间的距离p匆,f).在同一个类叨内可以考虑用不同度量p,譬如一致度量 p(g,f)一碧笃}g(x)一f(x)I,以及积分度量 /(。,,)一(i一(·)一,(·):“·)’‘’,p一和别的度量.至于逼近函数的类K则可以用代数多项式、三角多项式,还有f关于某个正交系的正交展开的部分和,这些部分和的线性平均,以及一些别的集之、
  
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