Abel-Gontscharoff interpolation: Continuous, discrete and time scale.
type: Item
instance of: scholarly article
title: Abel-Gontscharoff interpolation: Continuous, discrete and time scale.
zbMATH Open document ID: 1046.41003
DOI: 10.1016/S0377-0427(03)00494-1
author: Patricia J. Y. Wong
published in: Journal of Computational and Applied Mathematics
publication date: 2004-03-15T00:00:00Z
review text: The Abel-Gontscharoff interpolation problem in the real case was introduced in 1935 by J. M. Whittaker and later by V. L. Gontscharoff and P. J. Davis. In the second section of the paper the error analysis for this case (which was first discussed by A. Levin in 1964) is presented and, based on this considerations, tests for the right disfocality as well as disconjugacy for a higher-order equation are obtained. The Abel-Gontscharoff interpolation problem in the discrete case was introduced in 1993 by R. P. Agarwal and B. S. Lalli. The third section of the paper deals with this topic and the major differences from the real case are highlighted. The last section of the paper presents the Abel-Gontscharoff interpolation problem in the time scale case; this topic unifies those topics which appear in the previous two sections.
reviewed by: Radu Miculescu
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 65D05
zbMATH DE Number: 2057261
zbMATH Keywords: Abel-Gontscharoff interpolation
zbMATH Keywords: error estimates
zbMATH Keywords: right disfocality
zbMATH Keywords: disconjugacy
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2057261