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Matematicheskoe modelirovanie, 2014, Volume 26, Number 11, Pages 90–96 (Mi mm3545)  
This article is cited in 2 scientific papers (total in 2 papers)

On a class of interpolation polynomials for nonlinear ordinary differential operators

L. A. Yanovicha, M. V. Ignatenkob

a Institute of Mathematics, National Academy of Sciences of Belarus, Surganova str. 11, 220072 Minsk, Belarus
b Faculty of Mechanics and Mathematics, Belarus State University, Nezalezhnastsi ave. 4, Minsk, 220030, Belarus
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Abstract: This article is devoted to the construction of Lagrange interpolation formulas and formulas of Hermite type with knots of second multiplicity for ordinary differential operators of arbitrary order given in the space of continuously differentiable functions. Obtained formulas contain Stieltjes integrals and differentials Gateaux of interpolated operator. These formulas are invariant for the operator polynomials of a special class. The construction of operator interpolation formulas is based on interpolation polynomials for scalar functions.
Keywords: operator interpolation, operator polynomial, Lagrange and Hermite type interpolation, interpolation error.
Received: 21.03.2014
Bibliographic databases:
Document Type: Article
UDC: 517.988; 519.62; 519.65
Language: Russian
Citation: L. A. Yanovich, M. V. Ignatenko, “On a class of interpolation polynomials for nonlinear ordinary differential operators”, Matem. Mod., 26:11 (2014), 90–96
Citation in format AMSBIB
\Bibitem{YanIgn14}
\by L.~A.~Yanovich, M.~V.~Ignatenko
\paper On a class of interpolation polynomials for nonlinear ordinary differential operators
\jour Matem. Mod.
\yr 2014
\vol 26
\issue 11
\pages 90--96
\mathnet{http://mi.mathnet.ru/mm3545}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3541381}
\elib{https://elibrary.ru/item.asp?id=23421445}
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    • 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
    		Математическое моделирование
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