Quadratic Minimal Splines with Multiple Nodes

The paper studies quadratic minimal splines on nonuniform grids with multiple nodes on a closed interval. Asymptotic expansions for normalized splines are obtained. In dependence of the multiplicities of grid nodes, it is established to which class of continuity the spline functions under considerat...

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Bibliographic Details
Published inJournal of mathematical sciences (New York, N.Y.) Vol. 249; no. 2; pp. 256 - 262
Main Authors Kulikov, E. K., Makarov, A. A.
Format Journal Article
LanguageEnglish
Published New York Springer US 16.10.2020
Springer
Springer Nature B.V
Subjects
Asymptotic series
Computer-aided design
Continuity (mathematics)
Mathematics
Mathematics and Statistics
Nodes
Spline functions
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Summary:The paper studies quadratic minimal splines on nonuniform grids with multiple nodes on a closed interval. Asymptotic expansions for normalized splines are obtained. In dependence of the multiplicities of grid nodes, it is established to which class of continuity the spline functions under consideration belong. The results obtained are illustrated with examples of hyperbolic and trigonometric minimal splines. Bibliography: 10 titles.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-020-04939-2