Error inequalities for quintic and biquintic discrete Hermite interpolation
type: Item
instance of: scholarly article
title: Error inequalities for quintic and biquintic discrete Hermite interpolation
zbMATH Open document ID: 1221.65031
author: Fengmin Chen
author: Patricia J. Y. Wong
published in: Journal of Computational and Applied Mathematics
publication date: 2011-07-22T00:00:00Z
review text: The main results of the article address the accuracy of Hermite interpolation by polynomials in one or two dimensions. Both standard (continuous) Hermite data are used as well as discrete Hermite data which are produced by divided differences. Theorem~3.2 is the principal result which gives an error estimate in the Chebyshev norm with concrete constants. Examples are given to illustrate the main theorems.
reviewed by: Martin D. Buhmann
Mathematics Subject Classification ID: 65D05
zbMATH DE Number: 5930982
zbMATH Keywords: discrete Hermite interpolation
zbMATH Keywords: quintic polynomials
zbMATH Keywords: error estimates
zbMATH Keywords: numerical examples
zbMATH Keywords: divided differences
MaRDI profile type: Publication
full work available at URL: j.cam.2010.03.030
OpenAlex ID: W1999388024
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DOI: 10.1016/J.CAM.2010.03.030
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description: scientific article; zbMATH DE number 5930982