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Sibirskii Matematicheskii Zhurnal, 2001, Volume 42, Number 4, Pages 926–936 (Mi smj1435)  
This article is cited in 15 scientific papers (total in 15 papers)

On approximation of functions by generalized Abel–Poisson operators

L. P. Falaleev

Institute of Mathematics, Ministry of Education and Science of the Republic of Kazakhstan
Full-text PDF (193 kB) Citations (15)
Abstract: We find the exact constant in the principal term of the deviation of a function in the Zygmund class $Z_\alpha$ from the generalized Abel–Poisson operators determined by the Fourier series over the trigonometric system with particular summation factors.
Received: 11.11.1998
English version:
Siberian Mathematical Journal, 2001, Volume 42, Issue 4, Pages 779–788
DOI: https://doi.org/10.1023/A:1010409901592
Bibliographic databases:
UDC: 517.51
Language: Russian
Citation: L. P. Falaleev, “On approximation of functions by generalized Abel–Poisson operators”, Sibirsk. Mat. Zh., 42:4 (2001), 926–936; Siberian Math. J., 42:4 (2001), 779–788
Citation in format AMSBIB
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\by L.~P.~Falaleev
\paper On approximation of functions by generalized Abel--Poisson operators
\jour Sibirsk. Mat. Zh.
\yr 2001
\vol 42
\issue 4
\pages 926--936
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1865481}
\zmath{https://zbmath.org/?q=an:0984.42002}
\transl
\jour Siberian Math. J.
\yr 2001
\vol 42
\issue 4
\pages 779--788
\crossref{https://doi.org/10.1023/A:1010409901592}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000170501200014}
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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