| Hermite插值算子在加权Lp范数下的导数逼近 |
| |
| 引用本文： | 崔然,曹莉,许贵桥.Hermite插值算子在加权Lp范数下的导数逼近[J].天津师范大学学报(自然科学版),2009,29(2):1-4. |
| |
| 作者姓名： | 崔然 曹莉 许贵桥 |
| |
| 作者单位： | 1. 天津师范大学,数学科学学院,天津,300387
2. 内蒙古医学院,数学教研室,呼和浩特,010059 |
| |
| 摘 要： | 得到了以第一类Chebyshev多项式的零点为插值结点组的Hermite插值算子在加权Lp范数下导数逼近的平均收敛速度，所得结果在阶的意义下是精确的。
|
| 关 键 词： | Hermite插值算子 导数逼近 Chebyshev多项式 |
The derivative approximation of Hermite interpolation on the weighted Lp norm |
| |
| CUI Ran,CAO Li,XU Guiqiao.The derivative approximation of Hermite interpolation on the weighted Lp norm[J].Journal of Tianjin Normal University(Natural Science Edition),2009,29(2):1-4. |
| |
| Authors: | CUI Ran CAO Li XU Guiqiao |
| |
| Institution: | CUI Ran, CAO Li, XU Guiqiao(1. College of Mathematical Science, Tianjin Normal University, Tianjin 300387, China; 2. Department of Mathematics, Inner Mongolia Medical College, Hohhot 010059, China) |
| |
| Abstract: | The mean convergence rate of derivative approximation by Hermite interpolation based on the zeros of Chebyshev polynomials of the first kind on the weighted Lp norm is obtained, and the estimation is sharp. |
| |
| Keywords: | Hermite interpolation operators derivative approximation Chebyshev polynomials |
| 本文献已被 维普 万方数据 等数据库收录！ |
|
