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Matematicheskie Zametki, 1976, Volume 19, Issue 5, Pages 699–706 (Mi mzm7790)  

This article is cited in 4 scientific papers (total in 4 papers)

The best approximation of classes $W_1^r(I^s)$ in the space $L_\infty(I^s)$

V. E. Maiorov

Central Economics and Mathematics Institute, USSR Academy of Sciences
Full-text PDF (438 kB) Citations (4)
Abstract: A method is proposed which enables us to obtain the best upper bounds for the $n$-diameters of multidmensional Sobolev classes $W_1^r(I^s)$ in the metric of $L_\infty(I^s)$.
Received: 01.10.1974
English version:
Mathematical Notes, 1976, Volume 19, Issue 5, Pages 420–424
DOI: https://doi.org/10.1007/BF01142563
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: V. E. Maiorov, “The best approximation of classes $W_1^r(I^s)$ in the space $L_\infty(I^s)$”, Mat. Zametki, 19:5 (1976), 699–706; Math. Notes, 19:5 (1976), 420–424
Citation in format AMSBIB
\Bibitem{Mai76}
\by V.~E.~Maiorov
\paper The best approximation of classes $W_1^r(I^s)$ in the space $L_\infty(I^s)$
\jour Mat. Zametki
\yr 1976
\vol 19
\issue 5
\pages 699--706
\mathnet{http://mi.mathnet.ru/mzm7790}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=422962}
\zmath{https://zbmath.org/?q=an:0349.41022|0339.41017}
\transl
\jour Math. Notes
\yr 1976
\vol 19
\issue 5
\pages 420--424
\crossref{https://doi.org/10.1007/BF01142563}
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  • https://www.mathnet.ru/eng/mzm/v19/i5/p699
  • 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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