| THE DIVERGENCE OF LAGRANGE INTERPOLATION FOR ｜x｜^α |
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| 作者姓名： | Zhikang Lu Xifang Ge |
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| 作者单位： | [1]Hangzhou Teacher＇s College, China [2]Zhejiang Water Conservancy and Hydropower School, China |
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| 摘 要： | This paper shows that the sequence of Lagrange interpolation polynomials corresponding to the rune tion f（z） =｜x｜^α（1〈α〈2） on -1,1] can diverge everywhere in the interval except at zero and the end-points.
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| 关 键 词： | Lagrange插值 距离节点 分歧点 Banach空间 |
| 收稿时间： | 2004-11-15 |
| 修稿时间： | 2005-07-04 |
The divergence of Lagrange interpolation for ¦x¦α |
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| Zhikang Lu Xifang Ge.The divergence of Lagrange interpolation for |x|α[J].Analysis in Theory and Applications,2005,21(4):385-394. |
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| Authors: | Zhikang Lu Xifang Ge |
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| Institution: | (1) Department of Mathematics, Hangzhou Teacher’s College, 310036 Hangzhou, P. R. China;(2) Zhejiang Water Conservancy and Hydropower Schol, 310036 Hangzhou, P. R. China |
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| Abstract: | This paper shows that the sequence of Lagrange interpolation polynomials corresponding to the function f(x)=⋎x⋎α(1<α<2) on −1,1] can diverge everywhere in the interval except at zero and the end-points. |
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| Keywords: | lagrange interpolation polynomial equidistant nodes diverge |
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