| 联合插值限制的实值函数的L2逼近 |
| |
| 引用本文： | 苏生霞 何冠虎. 联合插值限制的实值函数的L2逼近[J]. 山西师范大学学报：自然科学版, 1998, 12(1): 16-19 |
| |
| 作者姓名： | 苏生霞 何冠虎 |
| |
| 摘 要： | 我们构造一个m次多项式p_(m,n),它是一个在给定的几个不同的结点上对已给实函数f∈L_(1.w)~2。进行联合插值,满足P_(m,n)（x_i）=f(x_(i)),P_(m,n)＇=f＇(x_(i)),i=1,...,n在L_2范数下,在f的所有同样性质的插值多项式中,它又是f的最佳逼近,并且得到当f∈c[a,b],m→∞,‖p_(m,n)-f‖→0。
|
| 关 键 词： | 插值 标准正交基 最小平方逼近 一致稠密 |
L_2- Approximation of Real-Valued Functions with Simultaneous Interpolatory Constraints |
| |
| Su Shengxia He Guanhu. L_2- Approximation of Real-Valued Functions with Simultaneous Interpolatory Constraints[J]. Journal of Shanxi Teachers University, 1998, 12(1): 16-19 |
| |
| Authors: | Su Shengxia He Guanhu |
| |
| Affiliation: | 1. Department of Mathematics and Computer. Shanxi Teachers University2. Insitute of Metal Research. Chinese Academy of Sciences 3. International Center for Materials Physics. Chinese Academy of Sciences |
| |
| Abstract: | |
| |
| Keywords: | Interpolation Orthonormal basis Least squares approxmation Uni-formly dense |
| 本文献已被 CNKI 维普 等数据库收录！ |
|
