| |x|在拟等距结点的有理插值 |
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| 引用本文： | 张慧明,李建俊. |x|在拟等距结点的有理插值[J]. 华中师范大学学报(自然科学版), 2022, 56(4): 573-576 |
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| 作者姓名： | 张慧明 李建俊 |
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| 作者单位： | (1.河北地质大学数理学院, 石家庄 050031; 2.河北师范大学附属民族学院, 石家庄 050091) |
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| 摘 要： | 以等距结点基础,在零点附近增加一些结点,得到一类新的结点组.研究|x|在这类结点组的有理插值,得到确切的逼近阶为On2log n(1).这个结果优于结点组取等距结点、(第二类)Chebyshev结点、调整的(第二类)Chebyshev结点和正切结点的有理插值.
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| 关 键 词： | 拟等距结点 有理插值 Newman型有理算子 逼近阶 |
| 收稿时间： | 2022-08-15 |
On rational interpolation to |x| at the quasi-equidistant nodes |
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| ZHANG Huiming,LI Jianjun. On rational interpolation to |x| at the quasi-equidistant nodes[J]. Journal of Central China Normal University(Natural Sciences), 2022, 56(4): 573-576 |
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| Authors: | ZHANG Huiming LI Jianjun |
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| Affiliation: | (1.College of Mathematics and Physics, Hebei GEO University, Shijiazhuang 050031, China;2.Minzu College Affaliated to Hebei Normal University, Shijiazhuang 050091, China) |
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| Abstract: | In this paper, a new nodes is obtained by adding some nodes near the zero point based on the equidistant nodes foundation. The rational interpolation of |x|at this kind of nodes is studied, and it is obtained that the exact order of approximation is On2log n(1).This result is better than the rational interpolation of equidistant nodes, Chebyshev nodes (of the second kind), adjusted Chebyshev nodes (of the second kind) and tangent nodes. |
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| Keywords: | quasi-equidistant nodes rational interpolation Newman-type rational operators order of approximation |
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