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Matematicheskie Zametki, 1981, Volume 29, Issue 2, Pages 181–196 (Mi mzm6296)  

This article is cited in 9 scientific papers (total in 9 papers)

Variation of the norms in the problem of best approximation

V. I. Berdyshev
Received: 22.01.1979
English version:
Mathematical Notes, 1981, Volume 29, Issue 2, Pages 95–103
DOI: https://doi.org/10.1007/BF01140919
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: V. I. Berdyshev, “Variation of the norms in the problem of best approximation”, Mat. Zametki, 29:2 (1981), 181–196; Math. Notes, 29:2 (1981), 95–103
Citation in format AMSBIB
\Bibitem{Ber81}
\by V.~I.~Berdyshev
\paper Variation of the norms in the problem of best approximation
\jour Mat. Zametki
\yr 1981
\vol 29
\issue 2
\pages 181--196
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=610577}
\zmath{https://zbmath.org/?q=an:0506.41027|0459.41016}
\transl
\jour Math. Notes
\yr 1981
\vol 29
\issue 2
\pages 95--103
\crossref{https://doi.org/10.1007/BF01140919}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981MH74800018}
Linking options:
  • https://www.mathnet.ru/eng/mzm6296
  • https://www.mathnet.ru/eng/mzm/v29/i2/p181
  • This publication is cited in the following 9 articles:
    1. A. R. Alimov, K. S. Ryutin, I. G. Tsar'kov, “Existence, uniqueness, and stability of best and near-best approximations”, Russian Math. Surveys, 78:3 (2023), 399–442  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    2. A. R. Alimov, I. G. Tsar'kov, “Connectedness and solarity in problems of best and near-best approximation”, Russian Math. Surveys, 71:1 (2016), 1–77  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    3. G. E. Ivanov, “Sharp estimates for the moduli of continuity of metric projections onto weakly convex sets”, Izv. Math., 79:4 (2015), 668–697  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    4. A. R. Alimov, I. G. Tsar'kov, “Connectedness and other geometric properties of suns and Chebyshev sets”, J. Math. Sci., 217:6 (2016), 683–730  mathnet  crossref  mathscinet
    5. “Vitalii Ivanovich Berdyshev”, Proc. Steklov Inst. Math. (Suppl.), 265, suppl. 1 (2009), S1–S9  mathnet  crossref  isi
    6. A. V. Marinov, “The Lipschitz constants of the metric εε-projection operator in spaces with given modules of convexity and smoothness”, Izv. Math., 62:2 (1998), 313–318  mathnet  crossref  crossref  mathscinet  zmath  isi
    7. S. I. Dudov, “A fixed-tolerance problem”, Comput. Math. Math. Phys., 37:8 (1997), 906–912  mathnet  mathscinet  zmath
    8. A. V. Marinov, “Stability estimates of continuous selections for metric almost-projections”, Math. Notes, 55:4 (1994), 367–371  mathnet  crossref  mathscinet  zmath  isi
    9. P. V. Al'brecht, “Orders of moduli of continuity of operators of almost best approximation”, Russian Acad. Sci. Sb. Math., 83:1 (1995), 1–22  mathnet  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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