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Zapiski Nauchnykh Seminarov POMI, 2018, Volume 472, Pages 179–194 (Mi znsl6648)  
This article is cited in 4 scientific papers (total in 4 papers)

Approximation by hyperbolic splines

E. K. Kulikov, A. A. Makarov

Saint Petersburg State University, Saint Petersburg, Russia
Full-text PDF (245 kB) Citations (4)
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Abstract: The paper considers the minimal hyperbolic splines and their properties. Formulas for constructing quadratic splines and the corresponding biorthogonal (dual) functionals are obtained. Numerical results, demonstrating how approximation quality can be improved by using hyperbolic splines and changing control parameters, are presented.
Key words and phrases: minimal spline, hyperbolic spline, B-spline, biorthogonal system, approximation functional, dual functional, de Boor-Fix functional.
Funding agency Grant number
Russian Foundation for Basic Research 16-41-700400_р_а
Received: 31.10.2018
Document Type: Article
UDC: 519.6
Language: Russian
Citation: E. K. Kulikov, A. A. Makarov, “Approximation by hyperbolic splines”, Computational methods and algorithms. Part XXXI, Zap. Nauchn. Sem. POMI, 472, POMI, St. Petersburg, 2018, 179–194
Citation in format AMSBIB
\Bibitem{KulMak18}
\by E.~K.~Kulikov, A.~A.~Makarov
\paper Approximation by hyperbolic splines
\inbook Computational methods and algorithms. Part~XXXI
\serial Zap. Nauchn. Sem. POMI
\yr 2018
\vol 472
\pages 179--194
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6648}
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  • https://www.mathnet.ru/eng/znsl6648
  • https://www.mathnet.ru/eng/znsl/v472/p179
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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