Determining the Rolle function in Lagrange interpolatory approximation

2018/10/22 by J.S.C. Prentice, Prentice, J. S. C.
Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Tribology and Lubrication Engineering #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.1810.09601

Abstract

We determine the Rolle function in Lagrange polynomial approximation using a suitable differential equation. We then propose a device for improving the Lagrange approximation by exploiting our knowledge of the Rolle function.

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