14 citations · 14 across the 1 of their papers we have counts for
6 papers
Optimal quadrature formulas for computing of Fourier integrals in a Hilbert space
A. R. Hayotov, S. S. Babaev
In the present paper the optimal quadrature formulas in the sense of Sard are constructed for numerical integration of the integral with $ω\in \mathbb{R…
On an optimal quadrature formula for approximation of Fourier integrals in the space
Samandar S. Babaev, A. R. Hayotov, U. N. Khayriev
The present paper is devoted to construction of an optimal quadrature formula for approximation of Fourier integrals in the Hilbert space of non-periodic, comple…
Optimal quadrature formulas for non-periodic functions in Sobolev space and its application to CT image reconstruction
Abdullo R. Hayotov, Soomin Jeon, Chang-Ock Lee +1
In the present paper, optimal quadrature formulas in the sense of Sard are constructed for numerical integration of the integral with i…
The order of convergence of an optimal quadrature formula with derivative in the space
Abdullo R. Hayotov, Rashidjon G. Rasulov
The present work is devoted to extension of the trapezoidal rule in the space . The optimal quadrature formula is obtained by minimizing the error of the formula by co…
Construction of optimal quadrature formulas exact for exponentional-trigonometric functions by Sobolev's method
A. K. Boltaev, A. R. Hayotov, Kh. M. Shadimetov
The paper studies Sard's problem on construction of optimal quadrature formulas in the space by Sobolev's method. This problem consists of two parts: first calculatin…
On an optimal quadrature formula for approximation of Fourier integrals in the space
Abdullo R. Hayotov, Soomin Jeon, Chang-Ock Lee
This paper deals with the construction of an optimal quadrature formula for the approximation of Fourier integrals in the Sobolev space of non-periodic, complex va…