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Matematicheskie Zametki, 1971, Volume 9, Issue 2, Pages 131–142 (Mi mzm9652)  

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

Uniform and tangential harmonic approximation of continuous functions on arbitrary sets

A. A. Shaginyan

Erevan State University
Abstract: Necessary and sufficient conditions which must be imposed on a set $E$ are derived, such that functions continuous on $E\subset G$ can be approximated by functions harmonic in a region $G\subset R^n$.
Received: 26.01.1970
English version:
Mathematical Notes, 1971, Volume 9, Issue 2, Pages 78–84
DOI: https://doi.org/10.1007/BF01316984
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: A. A. Shaginyan, “Uniform and tangential harmonic approximation of continuous functions on arbitrary sets”, Mat. Zametki, 9:2 (1971), 131–142; Math. Notes, 9:2 (1971), 78–84
Citation in format AMSBIB
\Bibitem{Sha71}
\by A.~A.~Shaginyan
\paper Uniform and tangential harmonic approximation of continuous functions on arbitrary sets
\jour Mat. Zametki
\yr 1971
\vol 9
\issue 2
\pages 131--142
\mathnet{http://mi.mathnet.ru/mzm9652}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=293298}
\zmath{https://zbmath.org/?q=an:0222.31010|0213.12304}
\transl
\jour Math. Notes
\yr 1971
\vol 9
\issue 2
\pages 78--84
\crossref{https://doi.org/10.1007/BF01316984}
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  • https://www.mathnet.ru/eng/mzm/v9/i2/p131
  • 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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