| 关于弱拟凸集与广义凸集逼近的几点注记 |
| |
| 引用本文： | 徐士英.关于弱拟凸集与广义凸集逼近的几点注记[J].系统科学与数学,1997,17(4):372-375. |
| |
| 作者姓名： | 徐士英 |
| |
| 作者单位： | 浙江师范大学基础数学研究所，浙江师范大学基础数学研究所 金华，321004，金华，321004 |
| |
| 摘 要： | 本文证明了赋范线性空间中闭弱拟凸集必为凸集,并指出郭元明的”弱拟凸集的一些性质及其应用”、“广义凸集的联合逼近特性”两文中的主要结论实质上是已知的结果.
|
| 关 键 词： | 弱拟凸集 最佳逼近 最佳联合逼近 |
SOME REMARKS ON THE CHARACTERIZATION OF BEST APPROXIMATIONS FOR WEAK QUASI CONVEX SET |
| |
| Xu Shiying,He Guolong.SOME REMARKS ON THE CHARACTERIZATION OF BEST APPROXIMATIONS FOR WEAK QUASI CONVEX SET[J].Journal of Systems Science and Mathematical Sciences,1997,17(4):372-375. |
| |
| Authors: | Xu Shiying He Guolong |
| |
| Institution: | Institute of Mathematics, Zhejiang Normal University, Jinhua 321004) |
| |
| Abstract: | This note concerns two papers by Guo Yuanming1,2]. By introducing the concept of solar point, and by proving that each closed weak quasi-convex set must be convex in normed linear spaces, we point out that the main theorems contained in 1, 2] are in fact for the case where the approximate set is convex and thus are known results. Even more related results can be further improved to more general cases. |
| |
| Keywords: | Weak quasi convex set best approximation best simultaneous approximation |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《系统科学与数学》浏览原始摘要信息 |
| 点击此处可从《系统科学与数学》下载免费的PDF全文 |
