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Matematicheskie Zametki, 1978, Volume 23, Issue 5, Pages 659–669 (Mi mzm9995)  
This article is cited in 10 scientific papers (total in 10 papers)

Certain positive linear operators

Yu. I. Volkov

Vinnitsa Polytechnic Institute
Full-text PDF (878 kB) Citations (10) English version article
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{https://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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    • This publication is cited in the following 10 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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