Výsledky vyhledávání - "Babaev, S. S."

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Optimal quadrature formulas for computing of Fourier integrals in a Hilbert space

Publikováno v: Problems of Computational and Applied Mathematics, 2020

In the present paper the optimal quadrature formulas in the sense of Sard are constructed for numerical integration of the integral $\int_a^b e^{2\pi i\omega x}\varphi(x)d x$ with $\omega\in \mathbb{R}$ in the Hilbert space $W_2^{(2,1)}[a,b]$ of comp

Externí odkaz: http://arxiv.org/abs/2102.07551

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On an optimal interpolation formula in $K_2(P_2)$ space

Autor: Babaev, S. S.

Publikováno v: Uzbek Mathematical Journal, 2019, no.1, pp.29-42

The paper is devoted to the construction of an optimal interpolation formula in $K_2(P_2)$ Hilbert space. Here the interpolation formula consists of a linear combination $\sum_{\beta=0}^NC_{\beta}(z)\varphi(x_\beta)$ of given values of a function $\v

Externí odkaz: http://arxiv.org/abs/2004.02482

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Optimal interpolation formulas in $W_2^{(m,m-1)}$ space

Autor: Babaev, S. S., Hayotov, A. R.

In the present paper optimal interpolation formulas are constructed in $W_2^{(m,m-1)}(0,1)$ space. Explicit formulas for coefficients of optimal interpolation formulas are obtained. Some numerical results are presented.
Comment: 22 pages, 36 fig

Externí odkaz: http://arxiv.org/abs/1802.00562

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