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Zapiski Nauchnykh Seminarov POMI, 2003, Volume 299, Pages 252–261 (Mi znsl1127)  
This article is cited in 1 scientific paper (total in 1 paper)

On affine diameters and chords of convex compacta

V. V. Makeev

Saint-Petersburg State University
Full-text PDF (179 kB) Citations (1)
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Abstract: Existence theorems are proved for collections of affine diameters of a convex body that satisfy various additional conditions.
The area of a convex planar figure is estimated via the maximal length of a chord dividing the area of the figure in a given ratio.
Received: 25.12.2001
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 131, Issue 1, Pages 5401–5405
DOI: https://doi.org/10.1007/s10958-005-0413-7
Bibliographic databases:
UDC: 514.172
Language: Russian
Citation: V. V. Makeev, “On affine diameters and chords of convex compacta”, Geometry and topology. Part 8, Zap. Nauchn. Sem. POMI, 299, POMI, St. Petersburg, 2003, 252–261; J. Math. Sci. (N. Y.), 131:1 (2005), 5401–5405
Citation in format AMSBIB
\Bibitem{Mak03}
\by V.~V.~Makeev
\paper On affine diameters and chords of convex compacta
\inbook Geometry and topology. Part~8
\serial Zap. Nauchn. Sem. POMI
\yr 2003
\vol 299
\pages 252--261
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1127}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2038826}
\zmath{https://zbmath.org/?q=an:1145.52301}
\elib{https://elibrary.ru/item.asp?id=13478503}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 131
\issue 1
\pages 5401--5405
\crossref{https://doi.org/10.1007/s10958-005-0413-7}
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  • https://www.mathnet.ru/eng/znsl/v299/p252
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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