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弧線型結點組在RS(S>2)中的一類推廣

時間:2023-04-26 21:58:35 數理化學論文

弧線型結點組在RS(S>2)中的一類推廣

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.

作 者: 朱平 ZHU Ping   作者單位: College of lnformation Science and Communication,Jinggangshan University,Ji'an 343009,China  刊 名: 數學季刊(英文版)  ISTIC PKU 英文刊名: CHINESE QUARTERLY JOURNAL OF MATHEMATICS  年,卷(期): 2008 23(3)  分類號: O241.3 O241.6  關鍵詞: multivariate polynomial interpolation   node configuration   Lagrange interpolation   Hermite interpolation   Birkhoff interpolation  

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