Shape-preserving interpolation by cubic splines
type: Item
instance of: scholarly article
title: Shape-preserving interpolation by cubic splines
zbMATH Open document ID: 1230.65020
DOI: 10.1134/S0001434610110209
published in: Mathematical Notes
publication date: 2011-11-25T00:00:00Z
review text: Interpolating polynomial splines in one dimension and of degree three are considered. It is desirable to construct splines which are \(k\)-times monotone when \(k\)-monotone data are given that are being interpolated (this is usually called a ``shape-preserving'' property). Such a solution is constructed for \(k\) up to four.
reviewed by: Martin D. Buhmann
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 65D07
zbMATH DE Number: 5980724
zbMATH Keywords: cubic spline
zbMATH Keywords: shape-preserving interpolation
zbMATH Keywords: \(k\)-monotonicity
zbMATH Keywords: \(B\)-spline
zbMATH Keywords: matrix with diagonal dominance
author: Yu. S. Volkov
author: V. V. Bogdanov
author: Valeriy L. Miroshnichenko
author: Valerii T. Shevaldin
MaRDI profile type: Publication
cites work: Q3742049
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cites work: On complete interpolation spline finding via \(B\)-splines
full work available at URL: s0001434610110209
OpenAlex ID: W2102052623
description: scientific article; zbMATH DE number 5980724