| |x|在扩展的Chebyshev结点的有理插值 |
| |
| 引用本文： | 李建俊,张慧明.|x|在扩展的Chebyshev结点的有理插值[J].河北大学学报(自然科学版),2023,43(1):16. |
| |
| 作者姓名： | 李建俊 张慧明 |
| |
| 基金项目： | 河北省自然科学基金资助项目(A2019403169) |
| |
| 摘 要： | 研究|x|在扩展的Chebyshev结点的有理插值,得到逼近阶为O(1/(nln n)).通过数值计算发现相同逼近阶的误差与结点的密集度、结点所在曲线的凹凸性有关.
|
| 关 键 词： | 扩展的Chebyshev结点 有理插值 Newman型有理算子 逼近阶 误差 |
| 收稿时间： | 2022-05-14 |
On rational interpolation to |x| at the extended Chebyshev nodes |
| |
| LI Jianjun,ZHANG Huiming.On rational interpolation to |x| at the extended Chebyshev nodes[J].Journal of Hebei University (Natural Science Edition),2023,43(1):16. |
| |
| Authors: | LI Jianjun ZHANG Huiming |
| |
| Institution: | 1.Minzu College Affaliated to Hebei Normal University, Shijiazhuang 050091, China; 2.College of Mathematics and Physics, Hebei GEO University, Shijiazhuang 050031, China |
| |
| Abstract: | In this paper, the rational interpolation of |x| at the extended Chebyshev nodes was studied. That the exact order of approximation is O(1/(nln n))was obtained. Through numerical calculation, it is found that the error of the same approximation order is related to the density of nodes and the concavity and convexity of the curve where the nodes are located. |
| |
| Keywords: | extended Chebyshev nodes rational interpolation Newman-type rational operators order of approximation error |
|
| 点击此处可从《河北大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《河北大学学报(自然科学版)》下载免费的PDF全文 |
