弧线型结点组在RS(S>2)中的一类推广
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 作者单位: College of lnformation Science and Communication,Jinggangshan University,Ji'an 343009,China 刊 名: 数学季刊(英文版) ISTIC PKU 英文刊名: CHINESE QUARTERLY JOURNAL OF MATHEMATICS 年,卷(期): 2008 23(3) 分类号: O241.3 O241.6 关键词: multivariate polynomial interpolation node configuration Lagrange interpolation Hermite interpolation Birkhoff interpolation