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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2015, Volume 21, Number 4, Pages 46–53 (Mi timm1228)  
This article is cited in 4 scientific papers (total in 4 papers)

Weighted one-sided approximation of characteristic functions of intervals by polynomials on a closed interval

A. G. Babenkoab, M. V. Deikalovaab, S. G. Reveszc

a Institute of Mathematics and Computer Science, Ural Federal University, Ekaterinburg
b Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
c Alfréd Rényi Institute of Mathematics, Hungary Academy of Sciences
Full-text PDF (188 kB) Citations (4)
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Abstract: We consider the problem of weighted one-sided approximation on the interval $[-1,1]$ of characteristic functions of intervals $(a,1]\subset(-1,1]$ and $(a,b)\subset(-1,1)$ by algebraic polynomials. In the case of half-intervals, the problem is solved completely. We construct an example to illustrate difficulties arising in the case of an open interval.
Keywords: one-sided approximation, characteristic function, polynomials.
Received: 07.09.2015
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2017, Volume 297, Issue 1, Pages 11–18
DOI: https://doi.org/10.1134/S0081543817050029
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: A. G. Babenko, M. V. Deikalova, S. G. Revesz, “Weighted one-sided approximation of characteristic functions of intervals by polynomials on a closed interval”, Trudy Inst. Mat. i Mekh. UrO RAN, 21, no. 4, 2015, 46–53; Proc. Steklov Inst. Math. (Suppl.), 297, suppl. 1 (2017), 11–18
Citation in format AMSBIB
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\by A.~G.~Babenko, M.~V.~Deikalova, S.~G.~Revesz
\paper Weighted one-sided approximation of characteristic functions of intervals by polynomials on a closed interval
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2015
\vol 21
\issue 4
\pages 46--53
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3468429}
\elib{https://elibrary.ru/item.asp?id=25300984}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2017
\vol 297
\issue , suppl. 1
\pages 11--18
\crossref{https://doi.org/10.1134/S0081543817050029}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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