Relations between rational and spline approximations in \(L_ p\) metric
type: Item
instance of: scholarly article
title: Relations between rational and spline approximations in \(L_ p\) metric
zbMATH Open document ID: 0647.41018
DOI: 10.1016/0021-9045(87)90005-0
author: Pencho Petrushev
published in: Journal of Approximation Theory
publication date: 1987-01-01T00:00:00Z
review text: This is the full paper with proofs of the author's exact determination of the relations between degree of approximation by splines with free nodes and rational functions. The results have been announced in Constructive theory of functions, Proc. Int. Conf., Varna/Bulg. 1984, 672-674 (1984; Zbl 0616.41014)] and are an improvement of Acta Math. Hung. 44, 61-83 (1984; Zbl 0596.41028) which has an \(\epsilon\)-gap in the statement.
Mathematics Subject Classification ID: 41A20
Mathematics Subject Classification ID: 41A15
zbMATH DE Number: 4056239
zbMATH Keywords: degree of approximation by splines
reviewed by: Johan Karlsson
MaRDI profile type: Publication
full work available at URL: 0021-9045(87)90005-0
OpenAlex ID: W2131707241
cites work: Q4089266
cites work: Q3674925
cites work: Q3941804
cites work: Q4137567
cites work: Relations between rational and spline approximations
cites work: Q3861893
cites work: Q5849933
cites work: Q5563498
cites work: Rational approximation to \(|x|\)
description: scientific article; zbMATH DE number 4056239