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Zapiski Nauchnykh Seminarov POMI, 2016, Volume 449, Pages 32–59 (Mi znsl6321)  
This article is cited in 1 scientific paper (total in 1 paper)

On a strong form of asymptotic formulas of Voronovskaya–Bernstein type with pointwise estimate of the remainder term

M. V. Babushkin, V. V. Zhuk

St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (259 kB) Citations (1)
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Abstract: A number of general results is established concerning strong form of asymptotic formulas of Voronovskaya–Bernstein type. Several examples of their application to concrete approximation methods are given.
Key words and phrases: asymptotic formulas of Voronovskaya–Bernstein type, strong approximation, local estimates for asymptotic formulas, modulus of continuity.
Received: 05.09.2016
English version:
Journal of Mathematical Sciences (New York), 2017, Volume 225, Issue 6, Pages 859–876
DOI: https://doi.org/10.1007/s10958-017-3502-5
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: M. V. Babushkin, V. V. Zhuk, “On a strong form of asymptotic formulas of Voronovskaya–Bernstein type with pointwise estimate of the remainder term”, Analytical theory of numbers and theory of functions. Part 32, Zap. Nauchn. Sem. POMI, 449, POMI, St. Petersburg, 2016, 32–59; J. Math. Sci. (N. Y.), 225:6 (2017), 859–876
Citation in format AMSBIB
\Bibitem{BabZhu16}
\by M.~V.~Babushkin, V.~V.~Zhuk
\paper On a~strong form of asymptotic formulas of Voronovskaya--Bernstein type with pointwise estimate of the remainder term
\inbook Analytical theory of numbers and theory of functions. Part~32
\serial Zap. Nauchn. Sem. POMI
\yr 2016
\vol 449
\pages 32--59
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6321}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3580130}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2017
\vol 225
\issue 6
\pages 859--876
\crossref{https://doi.org/10.1007/s10958-017-3502-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85027361711}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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