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Matematicheskie Zametki, 2023, Volume 114, Issue 4, Pages 623–627
DOI: https://doi.org/10.4213/mzm14065 (Mi mzm14065) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Brief Communications

Relationship Between the Best Lp Approximations of Splines by Polynomials with Estimates of the Values of Intermediate Derivatives in Sobolev Spaces

T. A. Garmanovaab, I. A. Sheipakab

a Lomonosov Moscow State University
b Moscow Center for Fundamental and Applied Mathematics
Full-text PDF (423 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm14065
Keywords: bounds for derivatives, best approximations by polynomials, Sobolev spaces.
Funding agency Grant number
Russian Science Foundation 20-11-20261
This work was financially supported by the Russian Science Foundation, project 20-11-20261, https://rscf.ru/en/project/20-11-20261/.
Received: 07.06.2023
English version:
Mathematical Notes, 2023, Volume 114, Issue 4, Pages 625–629
DOI: https://doi.org/10.1134/S0001434623090304
Bibliographic databases:
Document Type: Article
MSC: 26D10, 41A10
Language: Russian
Citation: T. A. Garmanova, I. A. Sheipak, “Relationship Between the Best Lp Approximations of Splines by Polynomials with Estimates of the Values of Intermediate Derivatives in Sobolev Spaces”, Mat. Zametki, 114:4 (2023), 623–627; Math. Notes, 114:4 (2023), 625–629
Citation in format AMSBIB
\Bibitem{GarShe23}
\by T.~A.~Garmanova, I.~A.~Sheipak
\paper Relationship Between the Best~$L_p$ Approximations of Splines by Polynomials with Estimates of the Values of Intermediate Derivatives in Sobolev Spaces
\jour Mat. Zametki
\yr 2023
\vol 114
\issue 4
\pages 623--627
\mathnet{http://mi.mathnet.ru/mzm14065}
\crossref{https://doi.org/10.4213/mzm14065}
\transl
\jour Math. Notes
\yr 2023
\vol 114
\issue 4
\pages 625--629
\crossref{https://doi.org/10.1134/S0001434623090304}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85174591925}
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  • https://doi.org/10.4213/mzm14065
  • https://www.mathnet.ru/eng/mzm/v114/i4/p623
    • This publication is cited in the following 1 articles:
    1. D. D. Kazimirov, I. A. Sheipak, “Exact Estimates of Functions in Sobolev Spaces with Uniform Norm”, Dokl. Math., 2024  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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