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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
References:
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
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”, 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 Ufa Math. J.
\yr 2013
\vol 5
\issue 1
\pages 90--101
\mathnet{http://mi.mathnet.ru//eng/ufa189}
\crossref{https://doi.org/10.13108/2013-5-1-90}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3429953}
\elib{https://elibrary.ru/item.asp?id=18929629}
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  • https://doi.org/10.13108/2013-5-1-90
  • https://www.mathnet.ru/eng/ufa/v5/i1/p90
  • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Уфимский математический журнал
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    Abstract page:323
    Russian version PDF:84
    English version PDF:18
    References:51
    First page:2
     
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