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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 383, Pages 33–52 (Mi znsl3870)  
This article is cited in 6 scientific papers (total in 6 papers)

The rate of decrease of constants in Jackson type inequalities in dependence of the order of modulus of continuity

O. L. Vinogradov, V. V. Zhuk

St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (639 kB) Citations (6)
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Abstract: Jackson type inequalities for moduli of continuity of arbitrary order are established with the use of linear approximation methods. The constants are smaller than known previously. The results are valid in different spaces of periodic and non periodic functions. Bibl. 19 titles.
Key words and phrases: best approximation, modulus of continuity, sharp constants.
Received: 06.09.2010
Document Type: Article
UDC: 517.5
Language: Russian
Citation: O. L. Vinogradov, V. V. Zhuk, “The rate of decrease of constants in Jackson type inequalities in dependence of the order of modulus of continuity”, Analytical theory of numbers and theory of functions. Part 25, Zap. Nauchn. Sem. POMI, 383, POMI, St. Petersburg, 2010, 33–52
Citation in format AMSBIB
\Bibitem{VinZhu10}
\by O.~L.~Vinogradov, V.~V.~Zhuk
\paper The rate of decrease of constants in Jackson type inequalities in dependence of the order of modulus of continuity
\inbook Analytical theory of numbers and theory of functions. Part~25
\serial Zap. Nauchn. Sem. POMI
\yr 2010
\vol 383
\pages 33--52
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3870}
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  • https://www.mathnet.ru/eng/znsl/v383/p33
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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