2007•Journal of Dalian Jiaotong UniversityRequires access

Study of Lagrange Interpolation Problem in R~s

Wan Chao-yan

Abstract

The problem of Lagrange interpolation of polynomial space in space Rs is studied,and the construction of Lagrange interpolation polynomial in space R1 and space R2 is proposed.With several examples of interpolation problem in space R2.In addition,the Lagrange interpolation polynomial on rectangular grid points and the Lagrange interpolation polynomial on trigonometric grid points are presented.The Lagrange interpolation polynomial and its remainder term in space Rs are discussed.

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Key concepts: Trigonometric interpolation, Birkhoff interpolation, Polynomial interpolation, Lagrange polynomial, Interpolation (computer graphics), Mathematics, Inverse quadratic interpolation, Spline interpolation