| L(X,B)中最佳逼近元的特征 |
| |
| 引用本文： | 陈迪荣.L(X,B)中最佳逼近元的特征[J].北京师范大学学报(自然科学版),1989(4). |
| |
| 作者姓名： | 陈迪荣 |
| |
| 作者单位： | 北京师范大学数学系 |
| |
| 摘 要： | 引入了一种线性赋范空间,建立了其上最佳逼近的Kolmogorov准则.由此导出了一些常见空间中最佳逼近元的特征.
|
| 关 键 词： | 最佳逼近元 Kolmogorov准则 |
CHARACTERIZATION OF ELEMENTS OF BEST APPROXIMATION IN L(X,B) |
| |
| Chen Dirong.CHARACTERIZATION OF ELEMENTS OF BEST APPROXIMATION IN L(X,B)[J].Journal of Beijing Normal University(Natural Science),1989(4). |
| |
| Authors: | Chen Dirong |
| |
| Institution: | Department of Mathematics |
| |
| Abstract: | A new type of normed linear space L(X,B) is introduced. A criterion of Kolmogorov type for the elements of best approximation by linear subspaces in L(X,B) is given, from which some well-known characterization theorems for elements of best approximation in some common function spaces are derived. |
| |
| Keywords: | elements of best approximation Kolmogrov's criterion |
| 本文献已被 CNKI 等数据库收录！ |
|
