Πk(R2)空间插值适定结点组的构造

journal6 ›› 2010, Vol. 31 ›› Issue (2): 22-24.

Π_k(R²)空间插值适定结点组的构造

（1.黑龙江八一农垦大学文理学院，黑龙江大庆163319；2.武警沈阳指挥学院教研部，辽宁沈阳110113；3.辽宁师范大学数学学院，辽宁大连116029）

出版日期:2010-03-25 发布日期:2012-04-18
作者简介:徐艳（1981- ）,女，山东聊城人，黑龙江八一农垦大学文理学院助教，辽宁师范大学硕士研究生,主要从事多元插值与拟合研究；崔利宏（1964-），男，吉林长春人，辽宁师范大学数学学院教授，博士，主要从事计算数学研究.

Construction of Properly Posed Set of Nodes for Interpolation in the Π_k(R²) Space

(1.College of Art and Science，HLJ August First Land Reclamation University，Daqing 163319,Heilongjiang China;2.Shenyang Command College of the Chinese Armed Police Forces，Shenyang 110113,China;3.School of Mathematics,Liaoning Normal University,Dalian 116029,Liaoning China)

Online:2010-03-25 Published:2012-04-18

摘要/Abstract

摘要：主要研究了Π_k(R²)空间中的Lagrange插值问题，给出了构造 Π_k(R²)空间Lagrange插值适定结点组的方法，所得结论推广了Ward Cheney和Will Light等人在2004年《逼近论教程》中给出的构造Π_k(R²)空间Lagrange插值适定结点组的方法，从而得到更一般的结论.

关键词： &Pi, _k(R²)空间, 适定结点组, 多元多项式, Lagrange插值, 多元插值

Abstract: The Lagrange interpolation of Π_k(R²) space is studied.The method of constructing the properly posed set of nodes for Lagrange interpolation in the Π_k(R²)space is given,and this generalizes the main method of constructing the properly posed set of nodes for Lagrange interpolation in the Π_k(R²) space which was acquired by Ward Cheney and Will Light in “The tutorial of approximation theory”.Thus a general conclusion is obtained.

Key words: Π_k(R²) , space;properly posed set of nodes;multivariate polynomial;Lagrange interpolation;multivariate interpolation

徐艳, 陈巍, 崔利宏. Π_k(R²)空间插值适定结点组的构造[J]. journal6, 2010, 31(2): 22-24.

XU Yan, CHEN Wei, CUI Li-Hong. Construction of Properly Posed Set of Nodes for Interpolation in the Π_k(R²) Space[J]. journal6, 2010, 31(2): 22-24.

Π_k(R²)空间插值适定结点组的构造

Construction of Properly Posed Set of Nodes for Interpolation in the Π_k(R²) Space

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 1

编辑推荐

Metrics

本文评价