Biorthogonal systems of functionals and decomposition matrices for minimal splines
type: Item
instance of: scholarly article
title: Biorthogonal systems of functionals and decomposition matrices for minimal splines
zbMATH Open document ID: 1275.41014
author: Anton A. Makarov
published in: Journal of Mathematical Sciences (New York)
publication date: 2013-04-24T00:00:00Z
review text: The author studies the `minimal splines' introduced by Yu. K. Dem'yanovich, which are nonpolynomial generalizations of the usual B-spline functions. First, he obtains a simple construction of a system of linear functionals biorthogonal to the generalized B-spline basis system of `coordinate splines'. Then the associated matrices of spline-wavelet expansions are constructed for nonuniform infinite grids on an open interval and for finite grids on the segment.
Mathematics Subject Classification ID: 41A15
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 42C40
zbMATH DE Number: 6156962
zbMATH Keywords: splines
zbMATH Keywords: wavelets
zbMATH Keywords: biorthogonal systems
zbMATH Keywords: decomposition matrices
zbMATH Keywords: reconstruction matrices
reviewed by: Aurelian Bejancu
MaRDI profile type: Publication
full work available at URL: s10958-012-1049-z
OpenAlex ID: W2031237709
cites work: Calibration relations for nonpolynomial splines
cites work: Reconstruction matrices and calibration relations for minimal splines
cites work: Construction of splines of maximal smoothness
cites work: Q4488070
cites work: Q5515507
DOI: 10.1007/S10958-012-1049-Z
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description: scientific article; zbMATH DE number 6156962