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Matematicheskie Zametki, 1974, Volume 15, Issue 3, Pages 371–379 (Mi mzm7357)  
This article is cited in 1 scientific paper (total in 1 paper)

Smoothing by $L$-spline functions of many variables

Yu. S. Zav'yalov

Institute of Mathematics, Siberian Branch of USSR Academy of Sciences
Full-text PDF (637 kB) Citations (1)
Abstract: We investigate the problem of the smoothing of experimental data by cell-like $L$-spline functions of many variables from the point of view of the theory of such functions proposed by the author. Given values of a function and its derivatives up to some order are smoothed on a rectangular network of nodes. Existence and uniqueness of the solution are proved and equations are derived.
Received: 23.04.1973
English version:
Mathematical Notes, 1974, Volume 15, Issue 3, Pages 212–217
DOI: https://doi.org/10.1007/BF01438372
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: Yu. S. Zav'yalov, “Smoothing by $L$-spline functions of many variables”, Mat. Zametki, 15:3 (1974), 371–379; Math. Notes, 15:3 (1974), 212–217
Citation in format AMSBIB
\Bibitem{Zav74}
\by Yu.~S.~Zav'yalov
\paper Smoothing by $L$-spline functions of many variables
\jour Mat. Zametki
\yr 1974
\vol 15
\issue 3
\pages 371--379
\mathnet{http://mi.mathnet.ru/mzm7357}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=350270}
\zmath{https://zbmath.org/?q=an:0291.41012|0286.41013}
\transl
\jour Math. Notes
\yr 1974
\vol 15
\issue 3
\pages 212--217
\crossref{https://doi.org/10.1007/BF01438372}
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  • https://www.mathnet.ru/eng/mzm7357
  • https://www.mathnet.ru/eng/mzm/v15/i3/p371
    • This publication is cited in the following 1 articles:
    1. A. V. Kryanev, V. V. Ivanov, I. A. Malinkin, L. A. Sevastyanov, D. K. Udumyan, INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2020, 2425, INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2020, 2022, 340006  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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