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Russian Academy of Sciences. Sbornik. Mathematics, 1995, Volume 82, Issue 2, Pages 441–459
DOI: https://doi.org/10.1070/SM1995v082n02ABEH003574 (Mi sm919) 		 
This article is cited in 46 scientific papers (total in 46 papers)

On approximation by families of linear polynomial operators in $l_P$-spaces, $0<p<1$

K. V. Runovskii

T. H. Shevchenko Chernihiv State Pedagogical Institute
English version PDF (740 kB) Citations (46)
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DOI: https://doi.org/10.1070/SM1995v082n02ABEH003574
Abstract: New applications are given for a method of approximation by families of linear polynomial operators in $L_p$-spaces with $0<p<1$ that was developed by the author in previous papers. In particular, a direct theorem and an inverse theorem on approximation 'by angle' of trigonometric polynomials are proved in the case of higher-order moduli of smoothness.
Received: 27.09.1993
Russian version:
Matematicheskii Sbornik, 1994, Volume 185, Number 8, Pages 81–102
Bibliographic databases:
UDC: 517.51
MSC: Primary 41A10, 41A27, 41A63, 42A10; Secondary 41A50, 42B99
Language: English
Original paper language: Russian
Citation: K. V. Runovskii, “On approximation by families of linear polynomial operators in $l_P$-spaces, $0<p<1$”, Mat. Sb., 185:8 (1994), 81–102; Russian Acad. Sci. Sb. Math., 82:2 (1995), 441–459
Citation in format AMSBIB
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\by K.~V.~Runovskii
\paper On approximation by families of linear polynomial operators in $l_P$-spaces, $0<p<1$
\jour Mat. Sb.
\yr 1994
\vol 185
\issue 8
\pages 81--102
\mathnet{http://mi.mathnet.ru/sm919}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1302624}
\zmath{https://zbmath.org/?q=an:0841.42001}
\transl
\jour Russian Acad. Sci. Sb. Math.
\yr 1995
\vol 82
\issue 2
\pages 441--459
\crossref{https://doi.org/10.1070/SM1995v082n02ABEH003574}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995RV83000012}
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  • https://doi.org/10.1070/SM1995v082n02ABEH003574
  • https://www.mathnet.ru/eng/sm/v185/i8/p81
    • This publication is cited in the following 46 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:716
    Russian version PDF:163
    English version PDF:21
    References:35
    First page:1
     
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