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Contemporary Mathematics. Fundamental Directions, 2018, Volume 64, Issue 4, Pages 723–735
DOI: https://doi.org/10.22363/2413-3639-2018-64-4-723-735 (Mi cmfd368) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Construction of optimal interpolation formulas in the Sobolev space

Kh. M. Shadimetov, A. R. Hayotov, F. A. Nuraliev

Institute of Mathematics, Uzbekistan Academy of Sciences, Tashkent, Uzbekistan
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DOI: https://doi.org/10.22363/2413-3639-2018-64-4-723-735
Abstract: In the present paper, using the discrete analog of the differential operator $\frac{d^{2m}}{dx^{2m}}$, optimal interpolation formulas are constructed in $L_2^{(4)}(0,1)$ space. The explicit formulas for coefficients of optimal interpolation formulas are obtained.
Document Type: Article
UDC: 519.652
Language: Russian
Citation: Kh. M. Shadimetov, A. R. Hayotov, F. A. Nuraliev, “Construction of optimal interpolation formulas in the Sobolev space”, Contemporary problems in mathematics and physics, CMFD, 64, no. 4, Peoples' Friendship University of Russia, M., 2018, 723–735
Citation in format AMSBIB
\Bibitem{ShaHayNur18}
\by Kh.~M.~Shadimetov, A.~R.~Hayotov, F.~A.~Nuraliev
\paper Construction of optimal interpolation formulas in the Sobolev space
\inbook Contemporary problems in mathematics and physics
\serial CMFD
\yr 2018
\vol 64
\issue 4
\pages 723--735
\publ Peoples' Friendship University of Russia
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd368}
\crossref{https://doi.org/10.22363/2413-3639-2018-64-4-723-735}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Современная математика. Фундаментальные направления
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