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2008•Journal of Beijing Union UniversityRequires access

The Estimation of the Lagrange Interpolation Basic Polynomial on the Nodes

Chunfeng Xing

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Abstract

Lagrange interpolation process is simple and direct,so it is used in practice.The estimation of the Lagrange interpolation basic polynomial on the second Chebyshev nodes and the range of the Lebesgue constant are given.So the second Chebyshev nodes are better nodes.

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What this paper is about

Lagrange interpolation process is simple and direct,so it is used in practice.The estimation of the Lagrange interpolation basic polynomial on the second Chebyshev nodes and the range of the Lebesgue constant are given.So the second Chebyshev nodes are better nodes.

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Available abstract

Lagrange interpolation process is simple and direct,so it is used in practice.The estimation of the Lagrange interpolation basic polynomial on the second Chebyshev nodes and the range of the Lebesgue constant are given.So the second Chebyshev nodes are better nodes.

Key concepts: Lagrange polynomial, Polynomial interpolation, Chebyshev nodes, Interpolation (computer graphics), Trigonometric interpolation, Mathematics, Chebyshev polynomials, Chebyshev filter

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