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Zapiski Nauchnykh Seminarov POMI, 2003, Volume 299, Pages 262–266 (Mi znsl1128)  
This article is cited in 4 scientific papers (total in 4 papers)

On estimating from above the perimeter of an asymmetric unit disk in the Minkowski plane

V. V. Makeev

Saint-Petersburg State University
Full-text PDF (150 kB) Citations (4)
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Abstract: It is proved that each convex planar fugure $K\subset\mathbb R^2$ contains a point $O$ such that the perimeter of $K$ computed with respect to the Minkowski distance function of the pair $(K,O)$ is at most 9. If $K$ is a triangle, then this estimate is sharp.
Received: 25.09.2003
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 131, Issue 1, Pages 5406–5408
DOI: https://doi.org/10.1007/s10958-005-0414-6
Bibliographic databases:
UDC: 514.172
Language: Russian
Citation: V. V. Makeev, “On estimating from above the perimeter of an asymmetric unit disk in the Minkowski plane”, Geometry and topology. Part 8, Zap. Nauchn. Sem. POMI, 299, POMI, St. Petersburg, 2003, 262–266; J. Math. Sci. (N. Y.), 131:1 (2005), 5406–5408
Citation in format AMSBIB
\Bibitem{Mak03}
\by V.~V.~Makeev
\paper On estimating from above the perimeter of an asymmetric unit disk in the Minkowski plane
\inbook Geometry and topology. Part~8
\serial Zap. Nauchn. Sem. POMI
\yr 2003
\vol 299
\pages 262--266
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1128}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2038827}
\zmath{https://zbmath.org/?q=an:1145.52302}
\elib{https://elibrary.ru/item.asp?id=13475439}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 131
\issue 1
\pages 5406--5408
\crossref{https://doi.org/10.1007/s10958-005-0414-6}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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