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Zapiski Nauchnykh Seminarov POMI, 2021, Volume 504, Pages 136–156 (Mi znsl7114)  
This article is cited in 1 scientific paper (total in 1 paper)

Construction of approximation functionals for minimal splines

E. K. Kulikov, A. A. Makarov

Saint Petersburg State University
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Abstract: The paper presents formulas for constructing quadratic minimal splines, which explicitly depend on components of the generating vector function. Formulas for various approximation functionals for minimal splines used as coefficients in local approximation schemes are obtained. Examples of special cases of approximation constructions, which have a quasi-interpolation character, are provided. Results of numerical experiments on approximation of a circular arc by minimal splines are considered.
Key words and phrases: B-splines, minimal splines, local approximation, quasi-interpolation.
Funding agency Grant number
Russian Foundation for Basic Research 20-31-90095
Received: 14.10.2021
Document Type: Article
UDC: 519.6
Language: Russian
Citation: E. K. Kulikov, A. A. Makarov, “Construction of approximation functionals for minimal splines”, Computational methods and algorithms. Part XXXIV, Zap. Nauchn. Sem. POMI, 504, POMI, St. Petersburg, 2021, 136–156
Citation in format AMSBIB
\Bibitem{KulMak21}
\by E.~K.~Kulikov, A.~A.~Makarov
\paper Construction of approximation functionals for minimal splines
\inbook Computational methods and algorithms. Part~XXXIV
\serial Zap. Nauchn. Sem. POMI
\yr 2021
\vol 504
\pages 136--156
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7114}
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  • https://www.mathnet.ru/eng/znsl/v504/p136
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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