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Mathematics of the USSR-Izvestiya, 1967, Volume 1, Issue 3, Pages 623–637
DOI: https://doi.org/10.1070/IM1967v001n03ABEH000573 (Mi im2555) 		 
This article is cited in 5 scientific papers (total in 5 papers)

The Helly problem and best approximation in a space of continuous functions

A. L. Garkavi
English version PDF (621 kB) Citations (5)
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DOI: https://doi.org/10.1070/IM1967v001n03ABEH000573
Abstract: Equivalence is verified between the Helly problem in the theory of moments and the problem of best approximation by elements of subspaces of finite defect. The existence and uniqueness conditions for the solution of these problems in a space of continuous functions are investigated.
Received: 18.03.1966
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1967, Volume 31, Issue 3, Pages 641–656
Bibliographic databases:
UDC: 513.88
MSC: 46E15, 46E10, 46E27, 28C05
Language: English
Original paper language: Russian
Citation: A. L. Garkavi, “The Helly problem and best approximation in a space of continuous functions”, Izv. Akad. Nauk SSSR Ser. Mat., 31:3 (1967), 641–656; Math. USSR-Izv., 1:3 (1967), 623–637
Citation in format AMSBIB
\Bibitem{Gar67}
\by A.~L.~Garkavi
\paper The Helly problem and best approximation in a space of continuous functions
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1967
\vol 31
\issue 3
\pages 641--656
\mathnet{http://mi.mathnet.ru/im2555}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=217501}
\zmath{https://zbmath.org/?q=an:0166.10502}
\transl
\jour Math. USSR-Izv.
\yr 1967
\vol 1
\issue 3
\pages 623--637
\crossref{https://doi.org/10.1070/IM1967v001n03ABEH000573}
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  • https://www.mathnet.ru/eng/im/v31/i3/p641
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:427
    Russian version PDF:142
    English version PDF:9
    References:68
    First page:2
     
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