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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2001, Number 4, Pages 54–59 (Mi vmumm1497)  

This article is cited in 18 scientific papers (total in 18 papers)

Short notes

Approximation properties of the most simple fractions

O. N. Kosukhin
Received: 13.12.2000
Bibliographic databases:
Document Type: Article
UDC: 517.538.5
Language: Russian
Citation: O. N. Kosukhin, “Approximation properties of the most simple fractions”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2001, no. 4, 54–59
Citation in format AMSBIB
\Bibitem{Kos01}
\by O.~N.~Kosukhin
\paper Approximation properties of the most simple fractions
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2001
\issue 4
\pages 54--59
\mathnet{http://mi.mathnet.ru/vmumm1497}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1861808}
\zmath{https://zbmath.org/?q=an:1022.41012}
Linking options:
  • https://www.mathnet.ru/eng/vmumm1497
  • https://www.mathnet.ru/eng/vmumm/y2001/i4/p54
  • This publication is cited in the following 18 articles:
    1. P. A. Borodin, K. S. Shklyaev, “Density of quantized approximations”, Russian Math. Surveys, 78:5 (2023), 797–851  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    2. P. A. Borodin, “Greedy approximation by arbitrary set”, Izv. Math., 84:2 (2020), 246–261  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    3. M. A. Komarov, “On the rate of approximation in the unit disc of H1-functions by logarithmic derivatives of polynomials with zeros on the boundary”, Izv. Math., 84:3 (2020), 437–448  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    4. M. A. Komarov, “Approximation by linear fractional transformations of simple partial fractions and their differences”, Russian Math. (Iz. VUZ), 62:3 (2018), 23–33  mathnet  crossref  isi
    5. V. I. Danchenko, M. A. Komarov, P. V. Chunaev, “Extremal and approximative properties of simple partial fractions”, Russian Math. (Iz. VUZ), 62:12 (2018), 6–41  mathnet  crossref  isi
    6. M. A. Komarov, “Estimates of the Best Approximation of Polynomials by Simple Partial Fractions”, Math. Notes, 104:6 (2018), 848–858  mathnet  crossref  crossref  mathscinet  isi  elib
    7. P. A. Borodin, “Approximation by Sums of the Form kλkh(λkz) in the Disk”, Math. Notes, 104:1 (2018), 3–9  mathnet  crossref  crossref  mathscinet  isi  elib
    8. M. A. Komarov, “A criterion for the best uniform approximation by simple partial fractions in terms of alternance. II”, Izv. Math., 81:3 (2017), 568–591  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    9. M. A. Komarov, “A criterion for the best uniform approximation by simple partial fractions in terms of alternance”, Izv. Math., 79:3 (2015), 431–448  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    10. M. A. Komarov, “Best Approximation Rate of Constants by Simple Partial Fractions and Chebyshev Alternance”, Math. Notes, 97:5 (2015), 725–737  mathnet  crossref  crossref  mathscinet  isi  elib
    11. P. V. Chunaev, “On a nontraditional method of approximation”, Proc. Steklov Inst. Math., 270 (2010), 278–284  mathnet  crossref  mathscinet  zmath  isi  elib
    12. P. A. Borodin, “Approximation by simple partial fractions on the semi-axis”, Sb. Math., 200:8 (2009), 1127–1148  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    13. V. Yu. Protasov, “Approximation by simple partial fractions and the Hilbert transform”, Izv. Math., 73:2 (2009), 333–349  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    14. E. N. Kondakova, “Interpolyatsiya naiprosteishimi drobyami”, Izv. Sarat. un-ta. Nov. ser. Ser.: Matematika. Mekhanika. Informatika, 9:2 (2009), 30–37  mathnet  crossref  elib
    15. V. I. Danchenko, “Approximation Properties of Sums of the Form kλkh(λkz)”, Math. Notes, 83:5 (2008), 587–593  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    16. Ya. V. Novak, “Best Local Approximation by Simplest Fractions”, Math. Notes, 84:6 (2008), 821–825  mathnet  crossref  crossref  mathscinet  isi
    17. A. V. Fryantsev, “On polynomial solutions of linear differential equations”, Russian Math. Surveys, 63:3 (2008), 560–561  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    18. V. I. Danchenko, “Estimates of derivatives of simplest fractions and other questions”, Sb. Math., 197:4 (2006), 505–524  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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