A. Hayotov

activity

20082021

most citedOptimal quadrature formulas for computing of Fourier integrals in a Hilbert space

55 citations · 105 across the 17 of their papers we have counts for

collaborators

Showing 2008Show all

4 papers · 1 filter

math.NA2008★ 5 cited

On an optimal quadrature formula in Sobolev space $L_{2}^{(m)} (0, 1)$

Kh. M. Shadimetov, A. R. Hayotov, F. A. Nuraliev

In this paper in the space $L_{2}^{(m)} (0, 1)$ the problem of construction of optimal quadrature formulas is considered. Here the quadrature sum consists on values of integrand at nod…

math.NA2008

Calculation of the Norm of the Error Functional of Optimal Quadrature Formulas in the Space $W_{2}^{(2, 1)} (0, 1)$

A. R. Hayotov

In this paper in the space $W_{2}^{(2, 1)} (0, 1)$ square of the norm of the error functional of a optimal quadrature formula is calculated.

math.NA2008★ 5 cited

Properties of Discrete Analogue of the Differential Operator $\frac{d ^{2 m}}{d x ^{2 m}} - \frac{d ^{2 m - 2}}{d x ^{2 m - 2}}$

Kh. M. Shadimetov, A. R. Hayotov

In the paper properties of the discrete analogue $D_{m} (h β)$ of the differential operator $\frac{d ^{2 m}}{d x ^{2 m}} - \frac{d ^{2 m - 2}}{d x ^{2 m - 2}}$ are studied. It is known, that zeros of…

math.NA2008★ 8 cited

Calculation of Coefficients of the Optimal Quadrature Formulas in the $W_{2}^{m, m - 1} (0, 1)$ Space

Kh. M. Shadimetov, A. R. Hayotov

In this paper problem of construction of optimal quadrature formulas in $W_{2}^{(m, m - 1)} (0, 1)$ space is considered. Here by using Sobolev's algorithm when $m = 1, 2$ we find the optimal…

On an optimal quadrature formula in Sobolev space L2(m)​(0,1)

Calculation of the Norm of the Error Functional of Optimal Quadrature Formulas in the Space W2(2,1)​(0,1)

Properties of Discrete Analogue of the Differential Operator dx2md2m​−dx2m−2d2m−2​

Calculation of Coefficients of the Optimal Quadrature Formulas in the W2m,m−1​(0,1) Space

On an optimal quadrature formula in Sobolev space $L_{2}^{(m)} (0, 1)$

Calculation of the Norm of the Error Functional of Optimal Quadrature Formulas in the Space $W_{2}^{(2, 1)} (0, 1)$

Properties of Discrete Analogue of the Differential Operator $\frac{d ^{2 m}}{d x ^{2 m}} - \frac{d ^{2 m - 2}}{d x ^{2 m - 2}}$

Calculation of Coefficients of the Optimal Quadrature Formulas in the $W_{2}^{m, m - 1} (0, 1)$ Space