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2011•College MathematicsRequires access

Improving Coefficients of Error Bounds for Lagrange Interpolation Polynomials

Huang Fang-lun

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Abstract

It is improtant to understand the nature of the error term when a Lagrange interpolation polynomial is used to approximate a function.This paper considers the Lagrange polynomials with equally spaced nodes.We estimate the upper bounds of the error terms for approximation using Lagrange interpolation polynomials.The coefficients of error bounds for Lagrange interpolation polynomials of degree less than 5 are improved.

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What this paper is about

It is improtant to understand the nature of the error term when a Lagrange interpolation polynomial is used to approximate a function.This paper considers the Lagrange polynomials with equally spaced nodes.We estimate the upper bounds of the error terms for approximation using Lagrange interpolation polynomials.The coefficients of error bounds for Lagrange interpolation polynomials of degree less than 5 are improved.

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Available abstract

It is improtant to understand the nature of the error term when a Lagrange interpolation polynomial is used to approximate a function.This paper considers the Lagrange polynomials with equally spaced nodes.We estimate the upper bounds of the error terms for approximation using Lagrange interpolation polynomials.The coefficients of error bounds for Lagrange interpolation polynomials of degree less than 5 are improved.

Key concepts: Lagrange polynomial, Mathematics, Trigonometric interpolation, Interpolation (computer graphics), Polynomial interpolation, Birkhoff interpolation, Constraint algorithm, Applied mathematics

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