Uniform approximation by generalized splines with free knots
type: Item
instance of: scholarly article
title: Uniform approximation by generalized splines with free knots
zbMATH Open document ID: 0697.41005
DOI: 10.1016/0021-9045(89)90150-0
author: Günther Nürnberger
author: M. Sommer
author: Larry L. Schumaker
author: Hans Strauss
published in: Journal of Approximation Theory
publication date: 1989-01-01T00:00:00Z
review text: The purpose of the paper is to study the best approximation by classes of generalized splines with free knots. The main results concern segment approximation and approximation by continuously composed Chebyshev systems. For these spaces the usual best approximation (in the uniform norm) existence, uniqueness and characterization are treated. The authors use the presented methods to give an improved necessary condition for approximation by polynomial splines with free knots.
Mathematics Subject Classification ID: 41A15
zbMATH DE Number: 4142712
zbMATH Keywords: generalized splines with free knots
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
zbMATH Keywords: characterization
zbMATH Keywords: polynomial splines with free knots
reviewed by: Carmen Simerská
MaRDI profile type: Publication
full work available at URL: 0021-9045(89)90150-0
OpenAlex ID: W2049104603
cites work: Chebyshev approximation by spline functions with free knots
cites work: Q5534404
cites work: Optimal segmented approximations
cites work: Q5531436
cites work: Q5186121
cites work: Interpolation by generalized splines
cites work: Generalized Chebyshevian Splines
cites work: Approximation by generalized splines
cites work: Bernstein's comparison theorem and a problem of Braess
cites work: Q3895980
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description: scientific article; zbMATH DE number 4142712