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Matematicheskie Zametki, 2001, Volume 69, Issue 3, Pages 412–426
DOI: https://doi.org/10.4213/mzm514 (Mi mzm514) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Properties of a Family of Operators

M. K. Potapov

M. V. Lomonosov Moscow State University
Full-text PDF (229 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm514
Abstract: In this paper we define a family of new nonsymmetric operators of generalized translation and describe their properties. For each of these operators, we introduce a generalized modulus of smoothness, for which the direct and inverse theorems of approximation theory are given.
Received: 09.11.1999
Revised: 03.03.2000
English version:
Mathematical Notes, 2001, Volume 69, Issue 3, Pages 373–386
DOI: https://doi.org/10.1023/A:1010287509486
Bibliographic databases:
UDC: 517
Language: Russian
Citation: M. K. Potapov, “Properties of a Family of Operators”, Mat. Zametki, 69:3 (2001), 412–426; Math. Notes, 69:3 (2001), 373–386
Citation in format AMSBIB
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\by M.~K.~Potapov
\paper Properties of a Family of Operators
\jour Mat. Zametki
\yr 2001
\vol 69
\issue 3
\pages 412--426
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\zmath{https://zbmath.org/?q=an:0998.41009}
\transl
\jour Math. Notes
\yr 2001
\vol 69
\issue 3
\pages 373--386
\crossref{https://doi.org/10.1023/A:1010287509486}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000169324200010}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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