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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2012, Volume 18, Number 4, Pages 258–266 (Mi timm884)  
This article is cited in 1 scientific paper (total in 1 paper)

Best approximation of periodic functions of several variables from the classes $MB^\omega_{p,\theta}$ in the uniform metric

S. A. Stasyuk

Institute of Mathematics, Ukrainian National Academy of Sciences, Kiev
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Abstract: We obtain order estimates for the best approximation in the uniform metric of periodic functions of several variables from the classes $MB^\omega_{p,\theta}$ by trigonometric polynomials with the “indices” of harmonics from step hyperbolic crosses.
Keywords: best approximation, step hyperbolic cross, mixed smoothness, uniform metric.
Received: 14.06.2012
Bibliographic databases:
Document Type: Article
UDC: 517.51
Language: Russian
Citation: S. A. Stasyuk, “Best approximation of periodic functions of several variables from the classes $MB^\omega_{p,\theta}$ in the uniform metric”, Trudy Inst. Mat. i Mekh. UrO RAN, 18, no. 4, 2012, 258–266
Citation in format AMSBIB
\Bibitem{Sta12}
\by S.~A.~Stasyuk
\paper Best approximation of periodic functions of several variables from the classes $MB^\omega_{p,\theta}$ in the uniform metric
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2012
\vol 18
\issue 4
\pages 258--266
\mathnet{http://mi.mathnet.ru/timm884}
\elib{https://elibrary.ru/item.asp?id=18126487}
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  • https://www.mathnet.ru/eng/timm/v18/i4/p258
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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