Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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}
Linking options:
  • https://www.mathnet.ru/eng/znsl1128
  • https://www.mathnet.ru/eng/znsl/v299/p262
    • 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
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:213
    Full-text PDF :63
    References:41
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024