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Matematicheskie Zametki, 1972, Volume 12, Issue 6, Pages 655–664 (Mi mzm9930)  
This article is cited in 12 scientific papers (total in 13 papers)

A lower bound for the asymptotic characteristics of classes of functions with dominating mixed derivative

N. S. Bakhvalov

M. V. Lomonosov Moscow State University
Full-text PDF (993 kB) Citations (13) English version article
Abstract: We obtain a new representation for classes of functions with dominating mixed derivative; using this representation we can obtain new lower bounds for the $\varepsilon$-entropy and for the errors in integration and interpolation for such classes.
Received: 12.04.1972
English version:
Mathematical Notes, 1972, Volume 12, Issue 6, Pages 833–838
DOI: https://doi.org/10.1007/BF01156040
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: N. S. Bakhvalov, “A lower bound for the asymptotic characteristics of classes of functions with dominating mixed derivative”, Mat. Zametki, 12:6 (1972), 655–664; Math. Notes, 12:6 (1972), 833–838
Citation in format AMSBIB
\Bibitem{Bak72}
\by N.~S.~Bakhvalov
\paper A lower bound for the asymptotic characteristics of classes of functions with dominating mixed derivative
\jour Mat. Zametki
\yr 1972
\vol 12
\issue 6
\pages 655--664
\mathnet{http://mi.mathnet.ru/mzm9930}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=333542}
\zmath{https://zbmath.org/?q=an:0249.41015}
\transl
\jour Math. Notes
\yr 1972
\vol 12
\issue 6
\pages 833--838
\crossref{https://doi.org/10.1007/BF01156040}
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  • https://www.mathnet.ru/eng/mzm9930
  • https://www.mathnet.ru/eng/mzm/v12/i6/p655
    • This publication is cited in the following 13 articles:
    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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    Abstract page:365
    Full-text PDF :122
    References:4
    First page:1
     
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