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Mathematics of the USSR-Izvestiya, 1992, Volume 38, Issue 3, Pages 553–573
DOI: https://doi.org/10.1070/IM1992v038n03ABEH002214 (Mi im1000) 		 
Simultaneous approximation of the solution and its derivatives in a boundary value problem for a linear differential equation with polynomial coefficients

E. S. Sinaiskii
English version PDF (885 kB) Russian version article
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DOI: https://doi.org/10.1070/IM1992v038n03ABEH002214
Abstract: The author investigates an algorithm for the construction of a polynomial that realizes the simultaneous approximation of the solution of a boundary value problem and its derivatives with the same rapidity of decrease of the error as for the case of the best uniform polynomial approximation of the function on an interval.
Received: 05.12.1988
Bibliographic databases:
UDC: 517.5
MSC: 65L10, 34B05
Language: English
Original paper language: Russian
Citation: E. S. Sinaiskii, “Simultaneous approximation of the solution and its derivatives in a boundary value problem for a linear differential equation with polynomial coefficients”, Math. USSR-Izv., 38:3 (1992), 553–573
Citation in format AMSBIB
\Bibitem{Sin91}
\by E.~S.~Sinaiskii
\paper Simultaneous approximation of the solution and its derivatives in a boundary value problem for a linear differential equation with polynomial coefficients
\jour Math. USSR-Izv.
\yr 1992
\vol 38
\issue 3
\pages 553--573
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\crossref{https://doi.org/10.1070/IM1992v038n03ABEH002214}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1129826}
\zmath{https://zbmath.org/?q=an:0788.65089|0739.65073}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1992IzMat..38..553S}
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:387
    Russian version PDF:93
    English version PDF:28
    References:81
    First page:1
     
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