Lebesgue constants for some interpolating \(L\)-splines
type: Item
instance of: scholarly article
title: Lebesgue constants for some interpolating \(L\)-splines
zbMATH Open document ID: 1396.41007
DOI: 10.1134/S008154381802013X
author: Sergey I. Novikov
published in: Proceedings of the Steklov Institute of Mathematics
publication date: 2018-07-19T00:00:00Z
review text: The author considers interpolating splines that are bounded on the real axis, have equidistant knots, and correspond to linear differential operators of the form \(\mathcal{L}_3 := D(D^2+\alpha^2)\), where \(\alpha > 0\). Exact values for the uniform Lebesgue constant of such splines are found and compared to the Lebesgue constants of other \(\mathcal{L}\)-splines.
Mathematics Subject Classification ID: 41A15
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 65D05
zbMATH DE Number: 6908531
zbMATH Keywords: interpolation
zbMATH Keywords: splines
zbMATH Keywords: Lebesgue constant
reviewed by: Peter Massopust
MaRDI profile type: Publication
cites work: Q5680530
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cites work: Q3475783
full work available at URL: s008154381802013x
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description: scientific article; zbMATH DE number 6908531