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

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

• Mathematics • Previous Articles Next Articles

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

Abstract

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

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.

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

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