Zobrazeno 1 - 10
of 295
pro vyhledávání: '"Hayotov, A. R."'
Publikováno v:
Uzbek Mathematical Journal, 2020
The present paper is devoted to construction of an optimal quadrature formula for approximation of Fourier integrals in the Hilbert space $W_2^{(1,0)}[a,b]$ of non-periodic, complex valued functions. Here the quadrature sum consists of linear combina
Externí odkaz:
http://arxiv.org/abs/2102.07516
Autor:
Hayotov, A. R., Babaev, S. S.
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
In the present paper, optimal quadrature formulas in the sense of Sard are constructed for numerical integration of the integral $\int_a^be^{2\pi i\omega x}\varphi(x)d x$ with $\omega\in \mathbb{R}$ in the Sobolev space $L_2^{(m)}[a,b]$ of complex-va
Externí odkaz:
http://arxiv.org/abs/2001.02636
The order of convergence of an optimal quadrature formula with derivative in the space $W_2^{(2,1)}$
The present work is devoted to extension of the trapezoidal rule in the space $W_2^{(2,1)}$. The optimal quadrature formula is obtained by minimizing the error of the formula by coefficients at values of the first derivative of a integrand. Using the
Externí odkaz:
http://arxiv.org/abs/1908.00450
The paper studies Sard's problem on construction of optimal quadrature formulas in the space $W_2^{(m,0)}$ by Sobolev's method. This problem consists of two parts: first calculating the norm of the error functional and then finding the minimum of thi
Externí odkaz:
http://arxiv.org/abs/1907.13289
This paper deals with the construction of an optimal quadrature formula for the approximation of Fourier integrals in the Sobolev space $L_2^{(1)}[a,b]$ of non-periodic, complex valued functions which are square integrable with first order derivative
Externí odkaz:
http://arxiv.org/abs/1907.12702
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
Comment: 22 pages, 36 fig
Externí odkaz:
http://arxiv.org/abs/1802.00562
In the present paper the problem of construction of optimal quadrature formulas in the sense of Sard in the space $L_2^{(m)}(0,1)$is considered. Here the quadrature sum consists of values of the integrand at nodes and values of the first and the thir
Externí odkaz:
http://arxiv.org/abs/1410.8423
Autor:
Hayotov, Abdullo R.
In the present paper, using S.L. Sobolev's method, interpolation spline that minimizes the expression $\int_0^1(\varphi^{(m)}(x)+\omega^2\varphi^{(m-2)}(x))^2dx$ in the $K_2(P_m)$ space are constructed. Explicit formulas for the coefficients of the i
Externí odkaz:
http://arxiv.org/abs/1410.5312
Autor:
Hayotov, A. R.
In the present paper we construct the discrete analogue $D_m(h\beta)$ of the differential operator $\frac{d^{2m}}{d x^{2m}} + 2\omega^2\frac{d^{2m-2}}{d x^{2m-2}} + \omega^4\frac{d^{2m-4}}{d x^{2m-4}}$. The discrete analogue $D_m(h\beta)$ plays the m
Externí odkaz:
http://arxiv.org/abs/1310.6831