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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
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
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
Linking options:
https://www.mathnet.ru/eng/ufa189https://doi.org/10.13108/2013-5-1-90 https://www.mathnet.ru/eng/ufa/v5/i1/p90
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Abstract page: | 323 | Russian version PDF: | 84 | English version PDF: | 18 | References: | 51 | First page: | 2 |
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