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Zapiski Nauchnykh Seminarov POMI, 2016, Volume 453, Pages 198–218 (Mi znsl6379)  
This article is cited in 8 scientific papers (total in 8 papers)

On functionals dual to minimal splines

A. A. Makarov

St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (256 kB) Citations (8)
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Abstract: The paper considers minimal splines of Lagrange type of lower orders, and a system of functionals biorthogonal to the system of minimal coordinate splines is constructed. The results obtained are illustrated on the example of a polynomial generating vector function, which leads to the construction of $B$-splines from the approximation relations.
Key words and phrases: minimal spline, $B$-spline, biorthogonal system, dual functional, de Boor–Fix functional.
Funding agency Grant number
Russian Foundation for Basic Research 16-31-60060 мол_а_дк
Ministry of Education and Science of the Russian Federation МД-6766.2015.9
Received: 11.10.2016
English version:
Journal of Mathematical Sciences (New York), 2017, Volume 224, Issue 6, Pages 942–955
DOI: https://doi.org/10.1007/s10958-017-3464-7
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: A. A. Makarov, “On functionals dual to minimal splines”, Computational methods and algorithms. Part XXIX, Zap. Nauchn. Sem. POMI, 453, POMI, St. Petersburg, 2016, 198–218; J. Math. Sci. (N. Y.), 224:6 (2017), 942–955
Citation in format AMSBIB
\Bibitem{Mak16}
\by A.~A.~Makarov
\paper On functionals dual to minimal splines
\inbook Computational methods and algorithms. Part~XXIX
\serial Zap. Nauchn. Sem. POMI
\yr 2016
\vol 453
\pages 198--218
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6379}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3593988}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2017
\vol 224
\issue 6
\pages 942--955
\crossref{https://doi.org/10.1007/s10958-017-3464-7}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85021185759}
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  • https://www.mathnet.ru/eng/znsl/v453/p198
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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