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Ufa Mathematical Journal, 2013, Volume 5, Issue 1, Pages 90–101
DOI: https://doi.org/10.13108/2013-5-1-90 (Mi ufa189) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Construction of optimal grid interpolation formulas in Sobolev space $\widetilde{L_2^m}(H)$ of periodic function of $n$ variables by Sobolev method

N. Kh. Mamatova, A. R. Hayotov, Kh. M. Shadimetov

Institute for Mathematics and Information Technologies of the National Academy of Sciences of Uzbekistan
English version PDF (369 kB) Citations (9)
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DOI: https://doi.org/10.13108/2013-5-1-90
Abstract: In the present work we consider the problem of constructing optimal grid interpolation formulas in the space $\widetilde{L_2^m}(H)$ of periodic function of $n$ variables. We find the coefficients of grid interpolation formulas.
Keywords: Sobolev space, optimal interpolation formula, properties of the discrete analogue of the operator $\Delta^m$, optimal coefficients.
Received: 20.12.2011
Russian version:
Ufimskii Matematicheskii Zhurnal, 2013, Volume 5, Issue 1, Pages 90–101
Bibliographic databases:
Document Type: Article
UDC: 519.65
Language: English
Original paper language: Russian
Citation: N. Kh. Mamatova, A. R. Hayotov, Kh. M. Shadimetov, “Construction of optimal grid interpolation formulas in Sobolev space $\widetilde{L_2^m}(H)$ of periodic function of $n$ variables by Sobolev method”, Ufimsk. Mat. Zh., 5:1 (2013), 90–101; Ufa Math. J., 5:1 (2013), 90–101
Citation in format AMSBIB
\Bibitem{MamHaySha13}
\by N.~Kh.~Mamatova, A.~R.~Hayotov, Kh.~M.~Shadimetov
\paper Construction of optimal grid interpolation formulas in Sobolev space $\widetilde{L_2^m}(H)$ of periodic function of $n$ variables by Sobolev method
\jour Ufimsk. Mat. Zh.
\yr 2013
\vol 5
\issue 1
\pages 90--101
\mathnet{http://mi.mathnet.ru/ufa189}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3429953}
\elib{https://elibrary.ru/item.asp?id=18929629}
\transl
\jour Ufa Math. J.
\yr 2013
\vol 5
\issue 1
\pages 90--101
\crossref{https://doi.org/10.13108/2013-5-1-90}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Уфимский математический журнал
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    Abstract page:321
    Russian version PDF:78
    English version PDF:17
    References:50
    First page:2
     
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