弧线型结点组在Rs(s>2)中的一类推广

数学季刊 ›› 2008, Vol. 23 ›› Issue (3): 368-375.

弧线型结点组在R^s(s>2)中的一类推广

College of Information Science and Communication,Jinggangshan University

收稿日期:2006-04-22 出版日期:2008-09-30 发布日期:2023-09-21
作者简介:ZHU Ping(1955- ), male, native of Qingpu, Shanghai, a professor of Jinggangshan University, engages in numerical analysis and intelligent computation.
基金资助:
Supported by the Science and Technology Project of Jiangxi Provincial Department of
Education([2007]320)

A Kind of Generalization of the Curve Type Node Configuration in R^s(s > 2)

College of Information Science and Communication,Jinggangshan University

Received:2006-04-22 Online:2008-09-30 Published:2023-09-21
About author:ZHU Ping(1955- ), male, native of Qingpu, Shanghai, a professor of Jinggangshan University, engages in numerical analysis and intelligent computation.
Supported by:
Supported by the Science and Technology Project of Jiangxi Provincial Department of
Education([2007]320)

摘要/Abstract

摘要： 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 R^s(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 P^ns(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.

关键词: multivariate polynomial interpolation, node configuration, Lagrange interpolation, Hermite interpolation, Birkhoff interpolation

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 R^s(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 P^ns(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.

Key words: multivariate polynomial interpolation, node configuration, Lagrange interpolation, Hermite interpolation, Birkhoff interpolation

中图分类号:

O241.3

朱平 . 弧线型结点组在R^s(s>2)中的一类推广[J]. 数学季刊, 2008, 23(3): 368-375.

ZHU Ping. A Kind of Generalization of the Curve Type Node Configuration in R^s(s > 2) [J]. Chinese Quarterly Journal of Mathematics, 2008, 23(3): 368-375.