Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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


Vestnik Moskov. Univ. Ser. 1. Mat. Mekh.:
Year:
Volume:
Issue:
Page:
Find




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

Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2025, Number 4, Pages 3–8
DOI: https://doi.org/10.55959/MSU0579-9368-1-66-4-1 (Mi vmumm4697) 		 
Mathematics

Convexity of $N$-Chebyshev sets on a normed plane

A. M. Pekarab, S. S. Fedorovskiiab

a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Moscow Center for Fundamental and Applied Mathematics
Full-text PDF (283 kB) English version article
References:
PDF
HTML
DOI: https://doi.org/10.55959/MSU0579-9368-1-66-4-1
Abstract: We describe normed planes in which all $N$-Chebyshev sets are convex.
Key words: metric $N$-projection, $N$-Chebyshev set, convexity, extreme points, points of smoothness, normed plane.
Funding agency Grant number
Russian Science Foundation 23–71–30001
This work is supported by the Russian Science Foundation, project no. 23-71-30001 at the Lomonosov Moscow State University.
Received: 29.05.2024
English version:
Moscow University Mathematics Bulletin, 2025, Volume 80, Issue 4, Pages 211–216
DOI: https://doi.org/10.3103/S0027132225700457
Document Type: Article
UDC: 517.982.256
Language: Russian
Citation: A. M. Pekar, S. S. Fedorovskii, “Convexity of $N$-Chebyshev sets on a normed plane”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2025, no. 4, 3–8; Moscow University Mathematics Bulletin, 80:4 (2025), 211–216
Citation in format AMSBIB
\Bibitem{PekFed25}
\by A.~M.~Pekar, S.~S.~Fedorovskii
\paper Convexity of $N$-Chebyshev sets on a normed plane
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2025
\issue 4
\pages 3--8
\mathnet{http://mi.mathnet.ru/vmumm4697}
\crossref{https://doi.org/10.55959/MSU0579-9368-1-66-4-1}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2025
\vol 80
\issue 4
\pages 211--216
\crossref{https://doi.org/10.3103/S0027132225700457}
Linking options:
  • https://www.mathnet.ru/eng/vmumm4697
  • https://www.mathnet.ru/eng/vmumm/y2025/i4/p3
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:108
    Full-text PDF :37
    References:11
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025