| A Kind of Generalization of the Curve Type Node Configuration in R^S（S 〉 2） |
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| 引用本文： | 朱平.A Kind of Generalization of the Curve Type Node Configuration in R^S（S 〉 2）[J].数学季刊,2008,23(3). |
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| 作者姓名： | 朱平 |
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| 作者单位： | College of Information Science and Communication, Jinggangshan University, Ji＇an 343009, China |
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| 摘 要： |
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| 关 键 词： | 弧线型结点组 Rs（S〉2） 推广方式 数学 |
A Kind of Generalization of the Curve Type Node Configuration in RS(S＞2) |
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| ZHU Ping.A Kind of Generalization of the Curve Type Node Configuration in RS(S＞2)[J].Chinese Quarterly Journal of Mathematics,2008,23(3). |
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| Authors: | ZHU Ping |
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| Abstract: | A kind of generalization of the Curve Type Node Configuration is given in this paper,and it is called the generalized node configuration CTNCB in RS(S＞2).The related multivariate polynomial interpolation problem is discussed.It is proved that the CTNCB is an appropriate node configuration for the polynomial space PSn (S＞2).And the expressions of the multivariate Vandermonde determinants that are related to the Odd Curve Type Node Configuration in R2 are also obtained. |
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| Keywords: | multivariate polynomial interpolation node configuration Lagrange interpolation Hermite interpolation Birkhoff interpolation |
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