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Matematicheskie Zametki, 1969, Volume 6, Issue 2, Pages 149–160 (Mi mzm6918)  
This article is cited in 8 scientific papers (total in 8 papers)

Approximation of continuous functions by broken lines

A. S. Loginov

M. V. Lomonosov Moscow State University
Full-text PDF (597 kB) Citations (8)
Abstract: Exact estimates for the approximation of continuous functions by broken lines are found.
Received: 03.03.1969
English version:
Mathematical Notes, 1969, Volume 6, Issue 2, Pages 549–555
DOI: https://doi.org/10.1007/BF01093696
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: A. S. Loginov, “Approximation of continuous functions by broken lines”, Mat. Zametki, 6:2 (1969), 149–160; Math. Notes, 6:2 (1969), 549–555
Citation in format AMSBIB
\Bibitem{Log69}
\by A.~S.~Loginov
\paper Approximation of continuous functions by broken lines
\jour Mat. Zametki
\yr 1969
\vol 6
\issue 2
\pages 149--160
\mathnet{http://mi.mathnet.ru/mzm6918}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=256027}
\zmath{https://zbmath.org/?q=an:0188.13002|0177.08801}
\transl
\jour Math. Notes
\yr 1969
\vol 6
\issue 2
\pages 549--555
\crossref{https://doi.org/10.1007/BF01093696}
Linking options:
  • https://www.mathnet.ru/eng/mzm6918
  • https://www.mathnet.ru/eng/mzm/v6/i2/p149
    • This publication is cited in the following 8 articles:
    1. Nikolaj Mormul`, Alexander Shchitov, “A study of approximation of functions of bounded variation by Faber-Schauder partial sums”, EEJET, 4:4 (100) (2019), 14  crossref
    2. S. B. Vakarchuk, A. N. Shchitov, “Estimates for the error of approximation of functions in $L_p^1$ by polynomials and partial sums of series in the Haar and Faber–Schauder systems”, Izv. Math., 79:2 (2015), 257–287  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    3. S. B. Vakarchuk, A. N. Shchitov, “Estimates for the error of approximation of classes of differentiable functions by Faber–Schauder partial sums”, Sb. Math., 197:3 (2006), 303–314  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    4. S. B. Vakarchuk, A. N. Shchitov, “Some problems of the approximation of Faber-Schauder series by partial sums in the metric of the space $\phi(L)$”, Russian Math. (Iz. VUZ), 48:10 (2004), 77–80  mathnet  mathscinet  zmath  elib
    5. N. P. Korneichuk, “Widths in $L_p$ of classes of continuous and of differentiable functions, and optimal methods of coding and recovering functions and their derivatives”, Math. USSR-Izv., 18:2 (1982), 227–247  mathnet  crossref  mathscinet  zmath
    6. A. S. Loginov, “Best approximations of continuous functions by piecewise monotone functions”, Math. USSR-Izv., 8:5 (1974), 991–1008  mathnet  crossref  mathscinet  zmath
    7. V. L. Velikin, “Precise approximation values by Hermitian splines on classes of differentiable function”, Math. USSR-Izv., 7:1 (1973), 163–184  mathnet  crossref  mathscinet  zmath
    8. A. S. Loginov, “On a bound for spline approximations”, Ukr Math J, 24:5 (1972), 562  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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