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Matematicheskie Zametki, 1971, Volume 9, Issue 2, Pages 105–112 (Mi mzm9649)  
This article is cited in 4 scientific papers (total in 4 papers)

Approximation of classes of differentiable functions

V. V. Arestov, V. N. Gabushin

V. A. Steklov Mathematics Institute, Sverdlovsk Branch, Academy of Sciences of the USSR
Full-text PDF (858 kB) Citations (4)
Abstract: Conditions are derived under which
$$ F=\sup_{||f^{(k)}||_{L_p(S)}\leqslant1}\,\inf_{||\varphi^{(l)}||_{L_r(S)}\leqslant n}||f-\varphi||_{L_p(S)} $$
is finite or infinite. The value of $F$ is calculated for certain special cases.
Received: 02.03.1970
English version:
Mathematical Notes, 1971, Volume 9, Issue 2, Pages 63–67
DOI: https://doi.org/10.1007/BF01316981
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: V. V. Arestov, V. N. Gabushin, “Approximation of classes of differentiable functions”, Mat. Zametki, 9:2 (1971), 105–112; Math. Notes, 9:2 (1971), 63–67
Citation in format AMSBIB
\Bibitem{AreGab71}
\by V.~V.~Arestov, V.~N.~Gabushin
\paper Approximation of classes of differentiable functions
\jour Mat. Zametki
\yr 1971
\vol 9
\issue 2
\pages 105--112
\mathnet{http://mi.mathnet.ru/mzm9649}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=282121}
\zmath{https://zbmath.org/?q=an:0222.41012|0216.39001}
\transl
\jour Math. Notes
\yr 1971
\vol 9
\issue 2
\pages 63--67
\crossref{https://doi.org/10.1007/BF01316981}
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    • 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
    		Математические заметки Mathematical Notes
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