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Matematicheskie Zametki, 1978, Volume 23, Issue 5, Pages 659–669 (Mi mzm9995)  
This article is cited in 9 scientific papers (total in 9 papers)

Certain positive linear operators

Yu. I. Volkov

Vinnitsa Polytechnic Institute
Full-text PDF (878 kB) Citations (9)
Abstract: Properties (including the approximating ones) are investigated of positive linear operators $L_n(f; x)$ for which the relation
$$ L_n((t-x)f(t);x)=\frac{\varphi(x)}{n}L_n'(f(t); x) $$
is fulfilled, as well as the properties of operators $L_n^{(m)}(f; x)$. The results are applicable, in particular, to Bernstein polynomials, to the operators of Mirak'yan, Baskakov, and others.
Received: 24.01.1977
English version:
Mathematical Notes, 1978, Volume 23, Issue 5, Pages 363–368
DOI: https://doi.org/10.1007/BF01789002
Bibliographic databases:
Document Type: Article
UDC: 517.51
Language: Russian
Citation: Yu. I. Volkov, “Certain positive linear operators”, Mat. Zametki, 23:5 (1978), 659–669; Math. Notes, 23:5 (1978), 363–368
Citation in format AMSBIB
\Bibitem{Vol78}
\by Yu.~I.~Volkov
\paper Certain positive linear operators
\jour Mat. Zametki
\yr 1978
\vol 23
\issue 5
\pages 659--669
\mathnet{http://mi.mathnet.ru/mzm9995}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=493086}
\zmath{https://zbmath.org/?q=an:0408.41009|0385.41016}
\transl
\jour Math. Notes
\yr 1978
\vol 23
\issue 5
\pages 363--368
\crossref{https://doi.org/10.1007/BF01789002}
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  • https://www.mathnet.ru/eng/mzm/v23/i5/p659
    • This publication is cited in the following 9 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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