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Matematicheskie Zametki, 2013, Volume 94, Issue 6, Pages 908–917
DOI: https://doi.org/10.4213/mzm9306 (Mi mzm9306) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Best Polynomial Approximations and the Widths of Function Classes in $L_{2}$

M. Sh. Shabozova, K. Tukhliev

a Institute of Mathematics, Academy of Sciences of Republic of Tajikistan, Dushanbe
Full-text PDF (472 kB) Citations (6)
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DOI: https://doi.org/10.4213/mzm9306
Abstract: Sharp Jackson–Stechkin type inequalities in which the modulus of continuity of $m$th order of functions is defined via the Steklov function are obtained. For the classes of functions defined by these moduli of continuity, exact values of various $n$-widths are derived.
Keywords: best polynomial approximation, Jackson–Stechkin type inequality, function classes in $L_{2}$.
Received: 21.11.2011
Revised: 06.12.2012
English version:
Mathematical Notes, 2013, Volume 94, Issue 6, Pages 930–937
DOI: https://doi.org/10.1134/S0001434613110291
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: M. Sh. Shabozov, K. Tukhliev, “Best Polynomial Approximations and the Widths of Function Classes in $L_{2}$”, Mat. Zametki, 94:6 (2013), 908–917; Math. Notes, 94:6 (2013), 930–937
Citation in format AMSBIB
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    • 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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