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Zapiski Nauchnykh Seminarov POMI, 2019, Volume 482, Pages 220–230 (Mi znsl6838)  
This article is cited in 3 scientific papers (total in 3 papers)

Quadratic minimal splines with multiple nodes

E. K. Kulikov, A. A. Makarov

Saint Petersburg State University
Full-text PDF (211 kB) Citations (3)
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Abstract: The paper studies quadratic minimal splines on nonuniform grids with multiple nodes on a closed interval. Asymptotic representations for normalized splines are obtained. In dependence of the multiplicity 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.
Key words and phrases: minimal splines, hyperbolic splines, frigonometric splines, nonuniformgrids, multiple nodes.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation МД-2242.2019.9
Received: 01.10.2019
Document Type: Article
UDC: 512.6
Language: Russian
Citation: E. K. Kulikov, A. A. Makarov, “Quadratic minimal splines with multiple nodes”, Computational methods and algorithms. Part XXXII, Zap. Nauchn. Sem. POMI, 482, POMI, St. Petersburg, 2019, 220–230
Citation in format AMSBIB
\Bibitem{KulMak19}
\by E.~K.~Kulikov, A.~A.~Makarov
\paper Quadratic minimal splines with multiple nodes
\inbook Computational methods and algorithms. Part~XXXII
\serial Zap. Nauchn. Sem. POMI
\yr 2019
\vol 482
\pages 220--230
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6838}
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  • https://www.mathnet.ru/eng/znsl6838
  • https://www.mathnet.ru/eng/znsl/v482/p220
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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