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Mathematics of the USSR-Sbornik, 1972, Volume 16, Issue 1, Pages 139–146
DOI: https://doi.org/10.1070/SM1972v016n01ABEH001354 (Mi sm3040) 		 
This article is cited in 29 scientific papers (total in 29 papers)

On a method for estimation from below of diameters of sets in Banach spaces

Yu. I. Makovoz
English version PDF (464 kB) Citations (29) Russian version article
References:
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DOI: https://doi.org/10.1070/SM1972v016n01ABEH001354
Abstract: In this paper, a theorem is proved which generalizes a well-known theorem concerning diameters of spheres. The $n$-diameters of several classes of differentiable functions are calculated in the metric of $L_p$ with the help of this theorem.
Bibliography: 9 titles.
Received: 01.02.1971
Bibliographic databases:
UDC: 519.5
MSC: Primary 52A05, 46E30; Secondary 52A40
Language: English
Original paper language: Russian
Citation: Yu. I. Makovoz, “On a method for estimation from below of diameters of sets in Banach spaces”, Math. USSR-Sb., 16:1 (1972), 139–146
Citation in format AMSBIB
\Bibitem{Mak72}
\by Yu.~I.~Makovoz
\paper On a~method for estimation from below of diameters of sets in Banach spaces
\jour Math. USSR-Sb.
\yr 1972
\vol 16
\issue 1
\pages 139--146
\mathnet{http://mi.mathnet.ru/eng/sm3040}
\crossref{https://doi.org/10.1070/SM1972v016n01ABEH001354}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=291774}
\zmath{https://zbmath.org/?q=an:0247.46036}
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  • https://www.mathnet.ru/eng/sm/v129/i1/p136
    • This publication is cited in the following 29 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
     
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