弧線型結(jié)點(diǎn)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(shù)學(xué)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(hào)： O241.3 O241.6  關(guān)鍵詞： multivariate polynomial interpolation   node configuration   Lagrange interpolation   Hermite interpolation   Birkhoff interpolation  

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