| W_2~m[a,b]空间中线性泛函最佳逼近的深入讨论 |
| |
| 引用本文： | 张伟,张新建,许鹏飞.W_2~m[a,b]空间中线性泛函最佳逼近的深入讨论[J].数学理论与应用,2006(1). |
| |
| 作者姓名： | 张伟 张新建 许鹏飞 |
| |
| 作者单位： | [1]国防科学技术大学理学院数学系 [2]国防科学技术大学理学院数学系 长沙 [3]410073 |
| |
| 摘 要： | 本文基础上给出了Wm2(a,b)空间再生核构造的普遍方法,并利用再生核讨论算于插值样条的投影性质及最佳数值逼近问题
|
| 关 键 词： | Wm2（a b） 再生核 线性泛函最佳逼近 最佳数值逼近 |
The Discussion of The Optimal Numerical Approximation of Linear Functional in W_2~m[a,b] Spaces |
| |
| Zhang Wei Zhang Xinjian Xu Pengfei.The Discussion of The Optimal Numerical Approximation of Linear Functional in W_2~m[a,b] Spaces[J].Mathematical Theory and Applications,2006(1). |
| |
| Authors: | Zhang Wei Zhang Xinjian Xu Pengfei |
| |
| Abstract: | In this paper,we discuss the universal method of constructing the reproducing kernel on W~m_2a,b]spaces and make the method used more widely.The optimal approximation of linear functionals on W~m_2 spaces are investigated,which can denoted by the optimal numerical approximation. |
| |
| Keywords: | W~m_2[a b] reproducing kernel The optimal approximation of linear functional the optimal numerical approximation |
| 本文献已被 CNKI 维普 等数据库收录！ |
