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Matematicheskie Zametki, 1974, Volume 15, Issue 3, Pages 355–362 (Mi mzm7355)  

This article is cited in 2 scientific papers (total in 2 papers)

Growth of a mixed derivative of a function of $C^{(l_1,l_2)}$

O. V. Besov

Steklov Mathematical Institute, Academy of Sciences of the USSR
Full-text PDF (511 kB) Citations (2)
Abstract: For a function $f(x,y)$ with the continuous derivatives $D_1^{l_1}f$, $D_2^{l_2}f$ we estimate the growth of the mixed derivative $D^\alpha f$ $\bigl(\frac{\alpha_1}{l_1}+\frac{\alpha_2}{l_2}=1\bigr)$. We consider generalizations and related problems.
Received: 15.02.1973
English version:
Mathematical Notes, 1974, Volume 15, Issue 3, Pages 201–206
DOI: https://doi.org/10.1007/BF01438370
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: O. V. Besov, “Growth of a mixed derivative of a function of $C^{(l_1,l_2)}$”, Mat. Zametki, 15:3 (1974), 355–362; Math. Notes, 15:3 (1974), 201–206
Citation in format AMSBIB
\Bibitem{Bes74}
\by O.~V.~Besov
\paper Growth of a~mixed derivative of a~function of $C^{(l_1,l_2)}$
\jour Mat. Zametki
\yr 1974
\vol 15
\issue 3
\pages 355--362
\mathnet{http://mi.mathnet.ru/mzm7355}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=365118}
\zmath{https://zbmath.org/?q=an:0298.26013}
\transl
\jour Math. Notes
\yr 1974
\vol 15
\issue 3
\pages 201--206
\crossref{https://doi.org/10.1007/BF01438370}
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  • https://www.mathnet.ru/eng/mzm/v15/i3/p355
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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