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
\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}
Linking options:
https://www.mathnet.ru/eng/ufa189
https://doi.org/10.13108/2013-5-1-90
https://www.mathnet.ru/eng/ufa/v5/i1/p90
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