Geodesic
The extremal function of interpolation formulas in $W_2^{(2,0)}$ space
Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 36 (2021) no. 3, pp. 123-132 Cet article a éte moissonné depuis la source Math-Net.Ru

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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: the error functional, the extremal function, Hilbert space.
Mots-clés : optimal interpolation formulas 
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A. K. Boltaev; Kh. M. Shadimetov; F. A. Nuraliev. The extremal function of interpolation formulas in $W_2^{(2,0)}$ space. Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 36 (2021) no. 3, pp. 123-132. http://geodesic.mathdoc.fr/item/VKAM_2021_36_3_a9/

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