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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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\crossref{https://doi.org/10.4213/mzm514}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1846839}
\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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  • https://doi.org/10.4213/mzm514
  • https://www.mathnet.ru/eng/mzm/v69/i3/p412
    • This publication is cited in the following 5 articles:
    1. M. Sh. Shabozov, K. K. Palavonov, “Neravenstva tipa Dzheksona – Stechkina i znachenie poperechnikov nekotorykh klassov funktsii v L2L2”, Dalnevost. matem. zhurn., 22:1 (2022), 125–137  mathnet  crossref  mathscinet
    2. M. Sh. Shabozov, A. A. Shabozova, “Nekotorye tochnye neravenstva tipa Dzheksona - Stechkina dlya periodicheskikh differentsiruemykh v smysle Veilya funktsii v L2”, Tr. IMM UrO RAN, 25, no. 4, 2019, 255–264  mathnet  crossref  elib
    3. M. Sh. Shabozov, “Nekotorye voprosy approksimatsii periodicheskikh funktsii trigonometricheskimi polinomami v L2”, Chebyshevskii sb., 20:4 (2019), 385–398  mathnet  crossref
    4. S. S. Platonov, “Fourier–Jacobi harmonic analysis and approximation of functions”, Izv. Math., 78:1 (2014), 106–153  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    5. M. K. Potapov, “Direct and Inverse Theorems of Approximation Theory for the mth Generalized Modulus of Smoothness”, Proc. Steklov Inst. Math., 232 (2001), 281–289  mathnet  mathscinet  zmath
    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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