| 复曲线上的Jackson型定理 |
| |
| 引用本文： | 涂天亮.复曲线上的Jackson型定理[J].华北水利水电学院学报,2007,28(3):104-106,112. |
| |
| 作者姓名： | 涂天亮 |
| |
| 作者单位： | 华北水利水电学院,河南,郑州,450011 |
| |
| 摘 要： | 设Γ是平面上的闭光滑Jordan曲线,f∈C(Γ).利用Herm ite插值的基多项式构建一种连续函数插值,一致收敛于f∈C(Γ),且其逼近度和实区间上Jackson定理的逼近度是一样的.
|
| 关 键 词： | 复曲线 插值 一致逼近 逼近阶. |
| 文章编号： | 1002-5634（2007）03-0104-03 |
| 修稿时间： | 2007-03-102007-04-20 |
Jackson Type Theorem on a Complex Curve |
| |
| TU Tian-liang.Jackson Type Theorem on a Complex Curve[J].Journal of North China Institute of Water Conservancy and Hydroelectric Power,2007,28(3):104-106,112. |
| |
| Authors: | TU Tian-liang |
| |
| Affiliation: | North China Institute of Water Conservancy and Hydroelectric Power, Zhengzhou 450011 ,China |
| |
| Abstract: | Let Γ be a closed smooth Jordan curve in the complex plane,and f∈C(Γ).With the help of a class of fundermental functions of Hermite interpolotion,a continuons function interpolation is put forward,which uniformly approximates to f(z)∈C(Γ) with the same order of approximation as that in Jackson theorem on real interval. |
| |
| Keywords: | a complex curve interpolation uniform approximation order df approximation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
