Approximation by generalized splines
type: Item
instance of: scholarly article
title: Approximation by generalized splines
zbMATH Open document ID: 0646.41004
DOI: 10.1016/0022-247X(85)90039-3
published in: Journal of Mathematical Analysis and Applications
publication date: 1985-01-01T00:00:00Z
review text: Generalized classes of splines are defined with fixed knots and throughout the paper this splines satisfy a certain interlacing property connected with the solvability of interpolation. The paper deals with the approximation in uniform and \(L_ 1\)-norms, i.e. existence, characterization, uniqueness, strong uniqueness. Uniform approximation is discussed with a class of splines called Chebyshevian splines as well as approximation in the \(L_ 1\)-norm with some applications to the moment problem. The paper is concluded with remarks and numerous references.
Mathematics Subject Classification ID: 41A15
zbMATH DE Number: 4054224
zbMATH Keywords: solvability of interpolation
zbMATH Keywords: existence
zbMATH Keywords: characterization
zbMATH Keywords: uniqueness
zbMATH Keywords: strong uniqueness
zbMATH Keywords: Uniform approximation
zbMATH Keywords: Chebyshevian splines
zbMATH Keywords: moment problem
author: Günther Nürnberger
author: Larry L. Schumaker
author: M. Sommer
author: Hans Strauss
reviewed by: Carmen Simerská
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4054224