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| THE EXACT CONVERGENCE RATE AT ZERO OF LAGRANGE INTERPOLATION POLYNOMIAL TO ｜x｜^α | |
| 引用本文： | Zhikang Lu Xifang Ge. THE EXACT CONVERGENCE RATE AT ZERO OF LAGRANGE INTERPOLATION POLYNOMIAL TO ｜x｜^α[J]. 分析论及其应用, 2006, 22(3): 201-207. DOI: 10.1007/s10496-006-0201-3 |
| 作者姓名： | Zhikang Lu Xifang Ge |
| 作者单位： | [1]Hangzhou Teacher＇s College, China [2]Zhejiang Tongji Professional College of Science and Technology, China |
| 摘 要： | In this paper we present a generalized quantitative version of a result the exact convergence rate at zero of Lagrange interpolation polynomial to spaced nodes in [-1,1] due to M.Revers concerning f（x） = ｜x｜α with on equally |
| 关 键 词： | 拉格朗日插值 等距结点 收敛 多项式 |
| 收稿时间： | 2005-10-20 |
The exact convergence rate at zero of Lagrange interpolation polynomial to |x|α |
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| Zhikang Lu,Xifang Ge. The exact convergence rate at zero of Lagrange interpolation polynomial to |x|α[J]. Analysis in Theory and Applications, 2006, 22(3): 201-207. DOI: 10.1007/s10496-006-0201-3 | |
| Authors: | Zhikang Lu Xifang Ge |
| Affiliation: | (1) Department of Math, Hangzhou Teacher’s College, Hangzhou, 310012, P. R. China;(2) Basic Department, ZheJiang Tongji Professional College of Science And Technology, Hangzhou, 311231, P. R. China |
| Abstract: | In this paper we present a generalized quantitative version of a result due to M.Revers concerning the exact convergence rate at zero of Lagrange interpolation polynomial to f(x) = |x|α with on equally spaced nodes in [−1, 1]. |
| Keywords: | Lagrange interpolation equidistant nodes convergence |
| 本文献已被 CNKI 维普 SpringerLink 等数据库收录！ | |