Determining the Rolle function in Lagrange interpolatory approximation

Fuente: arXiv
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Autore principale: Prentice, J. S. C.
Natura: Preprint
Pubblicazione: 2018
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author Prentice, J. S. C.
author_facet Prentice, J. S. C.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_1810_09601
institution arXiv
publishDate 2018
record_format arxiv
spellingShingle Determining the Rolle function in Lagrange interpolatory approximation
Prentice, J. S. C.
Numerical Analysis
65D05, 65L05, 65G99
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.
title Determining the Rolle function in Lagrange interpolatory approximation
topic Numerical Analysis
65D05, 65L05, 65G99
url https://arxiv.org/abs/1810.09601