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Funktsional'nyi Analiz i ego Prilozheniya, 1968, Volume 2, Issue 2, Pages 32–39 (Mi faa2765)  

This article is cited in 28 scientific papers (total in 29 papers)

On n-dimensional diameters of compacts in a Hilbert space

R. S. Ismagilov
Received: 25.10.1967
English version:
Functional Analysis and Its Applications, 1968, Volume 2, Issue 2, Pages 125–132
DOI: https://doi.org/10.1007/BF01075946
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: R. S. Ismagilov, “On n-dimensional diameters of compacts in a Hilbert space”, Funktsional. Anal. i Prilozhen., 2:2 (1968), 32–39; Funct. Anal. Appl., 2:2 (1968), 125–132
Citation in format AMSBIB
\Bibitem{Ism68}
\by R.~S.~Ismagilov
\paper On $n$-dimensional diameters of compacts in a Hilbert space
\jour Funktsional. Anal. i Prilozhen.
\yr 1968
\vol 2
\issue 2
\pages 32--39
\mathnet{http://mi.mathnet.ru/faa2765}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=230117}
\zmath{https://zbmath.org/?q=an:0179.19002}
\transl
\jour Funct. Anal. Appl.
\yr 1968
\vol 2
\issue 2
\pages 125--132
\crossref{https://doi.org/10.1007/BF01075946}
Linking options:
  • https://www.mathnet.ru/eng/faa2765
  • https://www.mathnet.ru/eng/faa/v2/i2/p32
  • This publication is cited in the following 29 articles:
    1. Yu. V. Malykhin, “Widths and rigidity”, Sb. Math., 215:4 (2024), 543–571  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    2. Yongping Liu, Man Lu, “Approximation problems on the smoothness classes”, Acta Math Sci, 44:5 (2024), 1721  crossref
    3. Yu. V. Malykhin, “A Complete Description of the Relative Widths of Sobolev Classes in the Uniform Metric”, Proc. Steklov Inst. Math. (Suppl.), 319, suppl. 1 (2022), S188–S192  mathnet  crossref  crossref  mathscinet  isi  elib
    4. Yuri V. Malykhin, “Kolmogorov Widths of the Besov Classes $B^1_{1,\theta }$ and Products of Octahedra”, Proc. Steklov Inst. Math., 312 (2021), 215–225  mathnet  crossref  crossref  mathscinet  isi  elib
    5. Y. Liu, G. Xu, J. Zhang, “Best restricted approximation of smooth function classes”, Tr. IMM UrO RAN, 24, no. 4, 2018, 283–294  mathnet  crossref  elib
    6. G. Santin, R. Schaback, “Approximation of eigenfunctions in kernel-based spaces”, Adv Comput Math, 42:4 (2016), 973  crossref
    7. G. A. Akishev, “Estimates for Kolmogorov widths of the Nikol'skii — Besov — Amanov classes in the Lorentz space”, Proc. Steklov Inst. Math. (Suppl.), 296, suppl. 1 (2017), 1–12  mathnet  crossref  mathscinet  isi  elib
    8. I. A. Korenovska, “Random maps and Kolmogorov widths”, Theory Stoch. Process., 20(36):1 (2015), 78–83  mathnet  mathscinet  zmath
    9. A. M. Vershik, A. A. Kirillov, V. F. Molchanov, Yu. A. Neretin, G. I. Olshanski, V. V. Ryzhikov, V. M. Tikhomirov, A. A. Shkalikov, “Rais Sal'manovich Ismagilov (on his 75th birthday)”, Russian Math. Surveys, 68:4 (2013), 783–788  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    10. Bernard Haasdonk, “Convergence Rates of the POD–Greedy Method”, ESAIM: M2AN, 47:3 (2013), 859  crossref
    11. R. S. Ismagilov, K. V. Uskov, “Asymptotics of the $n$-Widths of a Wiener Spiral in Complex Hilbert Space”, Math. Notes, 89:5 (2011), 645–651  mathnet  crossref  crossref  mathscinet  isi
    12. E. M. Galeev, “Poperechniki funktsionalnykh klassov i konechnomernykh mnozhestv”, Vladikavk. matem. zhurn., 13:2 (2011), 3–14  mathnet  elib
    13. Ismagilov R.S., “O kolmogorovskikh poperechnykh krivykh v gilbertovom prostranstve”, Vestn. Tambovskogo un-ta. Ser.: Estestvennye i tekhnicheskie nauki, 14:4 (2009), 717–718
    14. M. B. Muratbekov, M. M. Muratbekov, “Estimates of the spectrum for a class of mixed type operators”, Diff Equat, 43:1 (2007), 143  crossref
    15. B. Bordin, A.K. Kushpel, J. Levesley, S.A. Tozoni, “Estimates of n-widths of Sobolev's classes on compact globally symmetric spaces of rank one”, Journal of Functional Analysis, 202:2 (2003), 307  crossref
    16. V. N. Konovalov, “Approximation of Sobolev Classes by Their Finite-Dimensional Sections”, Math. Notes, 72:3 (2002), 337–349  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    17. K. V. Uskov, “On Exact Values of the Kolmogorov Width of Compact Sets in Hilbert Space”, Math. Notes, 72:4 (2002), 527–541  mathnet  crossref  crossref  mathscinet  zmath  isi
    18. Georgii G Magaril-Il'yaev, Konstantin Yu Osipenko, Vladimir M Tikhomirov, “On Exact Values of n-Widths in a Hilbert Space”, Journal of Approximation Theory, 108:1 (2001), 97  crossref
    19. S. N. Kudryavtsev, “Diameters of classes of smooth functions”, Izv. Math., 59:4 (1995), 741–764  mathnet  crossref  mathscinet  zmath  isi
    20. B. S. Kashin, S. I. Sharek, “Logarithmic growth of the $L^1$-norm of the majorant of partial sums of an orthogonal series”, Math. Notes, 58:2 (1995), 824–832  mathnet  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Функциональный анализ и его приложения Functional Analysis and Its Applications
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