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 Mat. Zametki: Year: Volume: Issue: Page: Find

 Mat. Zametki, 1969, Volume 6, Issue 2, Pages 149–160 (Mi mz6918)

Approximation of continuous functions by broken lines

M. V. Lomonosov Moscow State University

Abstract: Exact estimates for the approximation of continuous functions by broken lines are found.

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English version:
Mathematical Notes, 1969, 6:2, 549–555

Bibliographic databases:

UDC: 517.5

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/mz6918} \mathscinet{http://www.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} 

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. V. L. Velikin, “Precise approximation values by Hermitian splines on classes of differentiable function”, Math. USSR-Izv., 7:1 (1973), 163–184
2. A. S. Loginov, “Best approximations of continuous functions by piecewise monotone functions”, Math. USSR-Izv., 8:5 (1974), 991–1008
3. 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
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
5. 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
6. 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
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