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R(上标 s)空间中Lagrange插值问题研究

Bin Li, Wei Li, 万朝燕

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Abstract

The problem of Lagrange interpolation of polynomial space in space R(superscript s) is studied, and the construction of Lagrange interpolation polynomial in space R^1 and space R^2 is proposed. With several examples of interpolation problem in space 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 R(superscript s) are discussed.

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What this paper is about

The problem of Lagrange interpolation of polynomial space in space R(superscript s) is studied, and the construction of Lagrange interpolation polynomial in space R^1 and space R^2 is proposed. With several examples of interpolation problem in space 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 R(superscript s) are discussed.

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Available abstract

The problem of Lagrange interpolation of polynomial space in space R(superscript s) is studied, and the construction of Lagrange interpolation polynomial in space R^1 and space R^2 is proposed. With several examples of interpolation problem in space 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 R(superscript s) are discussed.

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

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