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Uspekhi Mat. Nauk, 2018, Volume 73, Issue 2(440), Pages 185–186 (Mi umn9813)  

This article is cited in 3 scientific papers (total in 3 papers)

Brief Communications

Convexity of Chebyshev sets with respect to tangent directions

A. R. Alimova, E. V. Shchepinb

a Moscow State University
b Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

Funding Agency Grant Number
Russian Foundation for Basic Research 16-01-00295-а
Ministry of Education and Science of the Russian Federation НШ-6222.2018.1
Russian Science Foundation 14-50-00005
The research of the first author was supported by the Russian Foundation for Basic Research (grant no. 16-01-00295-a) and by the Programme for State Support of Leading Scientific Schools of the President of the Russian Federation (project no. НШ-6222.2018.1). The research of the second author was supported by the Russian Science Foundation under grant no. 14-50-00005 at the Steklov Mathematical Institute of Russian Academy of Sciences. The results in § 1 were obtained by E. V. Shchepin, and the results in § 2, by A. R. Alimov.


DOI: https://doi.org/10.4213/rm9813

Full text: PDF file (318 kB)
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English version:
Russian Mathematical Surveys, 2018, 73:2, 366–368

Bibliographic databases:

MSC: 41A65
Received: 05.12.2017

Citation: A. R. Alimov, E. V. Shchepin, “Convexity of Chebyshev sets with respect to tangent directions”, Uspekhi Mat. Nauk, 73:2(440) (2018), 185–186; Russian Math. Surveys, 73:2 (2018), 366–368

Citation in format AMSBIB
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\pages 185--186
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. A. R. Alimov, “On approximative properties of locally Chebyshev sets”, Proc. Inst. Math. Mech. Natl. Acad. Sci. Azerb., 44:1 (2018), 36–42  mathscinet  zmath  isi
    2. A. R. Alimov, “Selections of the best and near-best approximation operators and solarity”, Proc. Steklov Inst. Math., 303 (2018), 10–17  mathnet  crossref  crossref  isi  elib
    3. Alimov A.R., Shchepin E.V., “Convexity of Suns in Tangent Directions”, Dokl. Math., 99:1 (2019), 14–15  crossref  isi
  • Успехи математических наук Russian Mathematical Surveys
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