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This article is cited in 2 scientific papers (total in 2 papers)
INFORMATION AND COMPUTATION TECHNOLOGIES
The extremal function of interpolation formulas in $W_2^{(2,0)}$ space
A. K. Boltaeva, Kh. M. Shadimetovb, F. A. Nuralievb a V. I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences
b Tashkent State Transport University
Abstract:
One of the main problems of computational mathematics is the optimization of computational methods in functional spaces. Optimization of computational methods are well demonstrated in the problems of the theory of interpolation formulas. In this paper, we study the problem of constructing an optimal interpolation formula in a Hilbert space. Here, using the Sobolev method, the first part of the problem is solved, i.e., an explicit expression of the square of the norm of the error functional of the optimal interpolation formulas in the Hilbert space $W_2^{(2,0)}$ is found.
Keywords:
optimal interpolation formulas, the error functional, the extremal function, Hilbert space.
Citation:
A. K. Boltaev, Kh. M. Shadimetov, F. A. Nuraliev, “The extremal function of interpolation formulas in $W_2^{(2,0)}$ space”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 36:3 (2021), 123–132
Linking options:
https://www.mathnet.ru/eng/vkam495 https://www.mathnet.ru/eng/vkam/v36/i3/p123
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