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Fundamentalnaya i Prikladnaya Matematika, 2016, Volume 21, Issue 4, Pages 151–174 (Mi fpm1752)  
This article is cited in 4 scientific papers (total in 4 papers)

Computer analysis of the attractors of zeros for classical Bernstein polynomials

I. V. Tikhonova, D. G. Tsvetkovichb, V. B. Sherstyukovc

a Moscow State University, Moscow, Russia
b Moscow State Pedagogical University, Moscow, Russia
c National Research Nuclear University, Moscow, Russia
Full-text PDF (585 kB) Citations (4)
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Abstract: The paper is concerned with special questions on the behavior of zeros of sequences of Bernstein polynomials. For a piecewise linear generating function, computer mathematics machinery was used to find the rules controlling the limit behavior of zeros as the number of the Bernstein polynomial unboundedly increases. New problems for theoretical investigations are formulated.
English version:
Journal of Mathematical Sciences (New York), 2020, Volume 245, Issue 2, Pages 217–233
DOI: https://doi.org/10.1007/s10958-020-04688-2
Bibliographic databases:
Document Type: Article
UDC: 517.518.82+519.677
Language: Russian
Citation: I. V. Tikhonov, D. G. Tsvetkovich, V. B. Sherstyukov, “Computer analysis of the attractors of zeros for classical Bernstein polynomials”, Fundam. Prikl. Mat., 21:4 (2016), 151–174; J. Math. Sci., 245:2 (2020), 217–233
Citation in format AMSBIB
\Bibitem{TikTsvShe16}
\by I.~V.~Tikhonov, D.~G.~Tsvetkovich, V.~B.~Sherstyukov
\paper Computer analysis of the attractors of zeros for classical Bernstein polynomials
\jour Fundam. Prikl. Mat.
\yr 2016
\vol 21
\issue 4
\pages 151--174
\mathnet{http://mi.mathnet.ru/fpm1752}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3783801}
\transl
\jour J. Math. Sci.
\yr 2020
\vol 245
\issue 2
\pages 217--233
\crossref{https://doi.org/10.1007/s10958-020-04688-2}
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  • https://www.mathnet.ru/eng/fpm/v21/i4/p151
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Фундаментальная и прикладная математика
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