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Mathematics of the USSR-Izvestiya, 1990, Volume 34, Issue 3, Pages 609–626
DOI: https://doi.org/10.1070/IM1990v034n03ABEH000674 (Mi im1256) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Oscillation properties of differential operators and convolution operators, and some applications

Nguyên Thị Thiêu Hoa
English version PDF (769 kB) Citations (2)
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DOI: https://doi.org/10.1070/IM1990v034n03ABEH000674
Abstract: A criterion is obtained for the validity of Rolle's theorem on the interval for linear differential operators. The exact order is found of decrease of the Fourier coefficients of the convolution kernels guaranteeing the variation diminishing property. Applications are given to several problems of approximation theory (such as quadrature formulas, recovering, widths, trigonometric interpolation, etc.).
Bibliography: 24 titles.
Received: 13.11.1987
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1989, Volume 53, Issue 3, Pages 590–606
Bibliographic databases:
UDC: 517.5
MSC: Primary 34C10, 47E05, 42B05; Secondary 65D32, 35K05, 42A85
Language: English
Original paper language: Russian
Citation: Nguyên Th{\d i} Thiêu Hoa, “Oscillation properties of differential operators and convolution operators, and some applications”, Izv. Akad. Nauk SSSR Ser. Mat., 53:3 (1989), 590–606; Math. USSR-Izv., 34:3 (1990), 609–626
Citation in format AMSBIB
\Bibitem{Ngu89}
\by Nguy\^en~Th{\d i}~Thi\^eu~Hoa
\paper Oscillation properties of differential operators and convolution operators, and some applications
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1989
\vol 53
\issue 3
\pages 590--606
\mathnet{http://mi.mathnet.ru/im1256}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1013713}
\zmath{https://zbmath.org/?q=an:0697.47051}
\transl
\jour Math. USSR-Izv.
\yr 1990
\vol 34
\issue 3
\pages 609--626
\crossref{https://doi.org/10.1070/IM1990v034n03ABEH000674}
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  • https://doi.org/10.1070/IM1990v034n03ABEH000674
  • https://www.mathnet.ru/eng/im/v53/i3/p590
    • This publication is cited in the following 2 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
    Statistics & downloads:
    Abstract page:290
    Russian version PDF:111
    English version PDF:16
    References:41
    First page:1
     
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