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Matematicheskie Zametki, 1972, Volume 11, Issue 5, Pages 491–498 (Mi mzm9815)  
This article is cited in 2 scientific papers (total in 2 papers)

Best approximations by rational functions with respect to the Hausdorff distance

K. N. Lungu

Moscow Institute of Railway Transport Engineers
Full-text PDF (778 kB) Citations (2)
Abstract: Inverse theorems on the best approximations of plane sets in a Hausdorff metric by means of rational functions are cited. It is shown, among other things, that if $R_{n,r}(F,[a,b])=o(1/n)$, then there exists a set $P\subset[a,b]$ of complete measure over which $F$ constitutes a single-valued function.
Received: 02.06.1971
English version:
Mathematical Notes, 1972, Volume 11, Issue 5, Pages 300–304
DOI: https://doi.org/10.1007/BF01158641
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: K. N. Lungu, “Best approximations by rational functions with respect to the Hausdorff distance”, Mat. Zametki, 11:5 (1972), 491–498; Math. Notes, 11:5 (1972), 300–304
Citation in format AMSBIB
\Bibitem{Lun72}
\by K.~N.~Lungu
\paper Best approximations by rational functions with respect to the Hausdorff distance
\jour Mat. Zametki
\yr 1972
\vol 11
\issue 5
\pages 491--498
\mathnet{http://mi.mathnet.ru/mzm9815}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=303185}
\zmath{https://zbmath.org/?q=an:0247.41010}
\transl
\jour Math. Notes
\yr 1972
\vol 11
\issue 5
\pages 300--304
\crossref{https://doi.org/10.1007/BF01158641}
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  • https://www.mathnet.ru/eng/mzm/v11/i5/p491
    • 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
    		Математические заметки Mathematical Notes
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