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Matematicheskie Zametki, 1992, Volume 52, Issue 1, Pages 105–113 (Mi mzm4661)  
This article is cited in 1 scientific paper (total in 1 paper)

The multidimensional Jackson theorem in $L_p$

N. N. Pustovoitov

V. A. Steklov Mathematical Institute, USSR Academy of Sciences
Full-text PDF (671 kB) Citations (1)
Abstract: This article considers the best approximation of a periodic function of several real variables by trigonometric polynomials with hyperbolic-cross harmonics. Theorems are proved on upper bounds for the indicated best approximation in terms of the modulus of continuity of the given function.
Received: 27.06.1991
English version:
Mathematical Notes, 1992, Volume 52, Issue 1, Pages 709–716
DOI: https://doi.org/10.1007/BF01247654
Bibliographic databases:
UDC: 517
Language: Russian
Citation: N. N. Pustovoitov, “The multidimensional Jackson theorem in $L_p$”, Mat. Zametki, 52:1 (1992), 105–113; Math. Notes, 52:1 (1992), 709–716
Citation in format AMSBIB
\Bibitem{Pus92}
\by N.~N.~Pustovoitov
\paper The multidimensional Jackson theorem in $L_p$
\jour Mat. Zametki
\yr 1992
\vol 52
\issue 1
\pages 105--113
\mathnet{http://mi.mathnet.ru/mzm4661}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1187720}
\zmath{https://zbmath.org/?q=an:0780.42012}
\transl
\jour Math. Notes
\yr 1992
\vol 52
\issue 1
\pages 709--716
\crossref{https://doi.org/10.1007/BF01247654}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1992LC62500015}
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  • https://www.mathnet.ru/eng/mzm/v52/i1/p105
    • 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
    		Математические заметки Mathematical Notes
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