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Mathematics of the USSR-Izvestiya, 1989, Volume 32, Issue 1, Pages 77–97
DOI: https://doi.org/10.1070/IM1989v032n01ABEH000736 (Mi im1169) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On best and optimal quadrature formulas on classes of bounded analytic functions

K. Yu. Osipenko
English version PDF (872 kB) Citations (4)
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DOI: https://doi.org/10.1070/IM1989v032n01ABEH000736
Abstract: The best quadrature formula is constructed for the Chebyshev weight function and Chebyshev knots, for the class of functions that are analytic in an ellipse with foci at the points $pm1$ and sum of semiaxes $c$, and have their moduli bounded by unity there.
Bibliography: 15 titles.
Received: 16.06.1986
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1988, Volume 52, Issue 1, Pages 79–99
Bibliographic databases:
UDC: 517.53
MSC: Primary 30E10, 41A55; Secondary 65D32
Language: English
Original paper language: Russian
Citation: K. Yu. Osipenko, “On best and optimal quadrature formulas on classes of bounded analytic functions”, Izv. Akad. Nauk SSSR Ser. Mat., 52:1 (1988), 79–99; Math. USSR-Izv., 32:1 (1989), 77–97
Citation in format AMSBIB
\Bibitem{Osi88}
\by K.~Yu.~Osipenko
\paper On~best and optimal quadrature formulas on~classes of bounded analytic functions
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1988
\vol 52
\issue 1
\pages 79--99
\mathnet{http://mi.mathnet.ru/im1169}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=936524}
\zmath{https://zbmath.org/?q=an:0663.30037|0647.30033}
\transl
\jour Math. USSR-Izv.
\yr 1989
\vol 32
\issue 1
\pages 77--97
\crossref{https://doi.org/10.1070/IM1989v032n01ABEH000736}
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  • https://www.mathnet.ru/eng/im/v52/i1/p79
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:374
    Russian version PDF:98
    English version PDF:18
    References:67
    First page:1
     
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