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Zapiski Nauchnykh Seminarov POMI, 2012, Volume 404, Pages 135–156 (Mi znsl5264)  
This article is cited in 4 scientific papers (total in 4 papers)

Inequalities of type generalized Jackson theorem for best approximations

V. V. Zhuk

Saint-Petersburg State University, Saint-Petersburg, Russia
Full-text PDF (278 kB) Citations (4)
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Abstract: Very simple methods to get upper estimates of type generalized Jackson theorem for best approximations of periodic function are proposed. These results are similar to generalized Jackson theorem which gives estimates in terms of moduli of continuity.
Key words and phrases: best approximation, continuity moduli, generalized Jackson theorem.
Received: 05.10.2012
English version:
Journal of Mathematical Sciences (New York), 2013, Volume 193, Issue 1, Pages 75–88
DOI: https://doi.org/10.1007/s10958-013-1435-1
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: V. V. Zhuk, “Inequalities of type generalized Jackson theorem for best approximations”, Analytical theory of numbers and theory of functions. Part 27, Zap. Nauchn. Sem. POMI, 404, POMI, St. Petersburg, 2012, 135–156; J. Math. Sci. (N. Y.), 193:1 (2013), 75–88
Citation in format AMSBIB
\Bibitem{Zhu12}
\by V.~V.~Zhuk
\paper Inequalities of type generalized Jackson theorem for best approximations
\inbook Analytical theory of numbers and theory of functions. Part~27
\serial Zap. Nauchn. Sem. POMI
\yr 2012
\vol 404
\pages 135--156
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5264}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3029597}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2013
\vol 193
\issue 1
\pages 75--88
\crossref{https://doi.org/10.1007/s10958-013-1435-1}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84884988588}
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  • https://www.mathnet.ru/eng/znsl/v404/p135
    • 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
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