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Mathematics of the USSR-Izvestiya, 1984, Volume 22, Issue 3, Pages 399–418
DOI: https://doi.org/10.1070/IM1984v022n03ABEH001451 (Mi im1410) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Multidimensional approximation operators generated by Lebesgue–Stieltjes measures

Yu. I. Volkov
English version PDF (764 kB) Citations (1)
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DOI: https://doi.org/10.1070/IM1984v022n03ABEH001451
Abstract: A general class of sequences of multidimensional positive linear operators is defined and studied; it includes, in particular, sequences of multidimensional Berstein polynomials. The main asymptotic term is obtained in the remainder when derivatives of functions in certain classes are approximated by derivatives of the values of the operators on these functions.
Bibliography: 10 titles.
Received: 02.11.1981
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1983, Volume 47, Issue 3, Pages 435–454
Bibliographic databases:
UDC: 517.51
MSC: Primary 41A25; Secondary 26A42, 41A17, 44A10
Language: English
Original paper language: Russian
Citation: Yu. I. Volkov, “Multidimensional approximation operators generated by Lebesgue–Stieltjes measures”, Math. USSR-Izv., 22:3 (1984), 399–418
Citation in format AMSBIB
\Bibitem{Vol83}
\by Yu.~I.~Volkov
\paper Multidimensional approximation operators generated by Lebesgue--Stieltjes measures
\jour Math. USSR-Izv.
\yr 1984
\vol 22
\issue 3
\pages 399--418
\mathnet{http://mi.mathnet.ru//eng/im1410}
\crossref{https://doi.org/10.1070/IM1984v022n03ABEH001451}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=703592}
\zmath{https://zbmath.org/?q=an:0538.41039|0528.41013}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:388
    Russian version PDF:119
    English version PDF:31
    References:73
    First page:1
     
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