K. Shadimetov

activity

20082023

most citedCalculation of Coefficients of the Optimal Quadrature Formulas in the

W_{2}^{m, m - 1} (0, 1)

Space

8 citations · 23 across the 7 of their papers we have counts for

collaborators

7 papers

math.NA2023★ 1 cited

Optimization of Adams-type difference formulas in Hilbert space $W_{2}^{(2, 1)} (0, 1)$

Kh. M. Shadimetov, R. S. Karimov

In this paper, we consider the problem of constructing new optimal explicit and implicit Adams-type difference formulas for finding an approximate solution to the Cauchy problem fo…

math.NA2020

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 $\int_{a}^{b} e^{2 π iω x} φ (x) d x$ with $ω \in R$ i…

math.NA2019★ 1 cited

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 $W_{2}^{(m, 0)}$ by Sobolev's method. This problem consists of two parts: first calculatin…

math.NA2010★ 2 cited

Optimal quadrature formulas of closed type in the space $L_{2}^{(m)} (0, 1)$

Kh. M. Shadimetov

It is discussed the problem on construction of optimal quadrature formulas in the sense of Sard in the space $L_{2}^{(m)} (0, 1)$ , when the nodes of quadrature formulas are equally spa…

math.NA2009★ 6 cited

Optimal Quadrature Formulas with Positive Coefficients in $L_{2}^{(m)} (0, 1)$ Space

Kh. M. Shadimetov, A. R. Hayotov

In the Sobolev space $L_{2}^{(m)} (0, 1)$ optimal quadrature formulas with the nodes (1.5) are investigated. For optimal coefficients explicit form are obtained and norm of the error f…

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…

Optimization of Adams-type difference formulas in Hilbert space W2(2,1)​(0,1)

Optimal quadrature formulas for non-periodic functions in Sobolev space and its application to CT image reconstruction

Construction of optimal quadrature formulas exact for exponentional-trigonometric functions by Sobolev's method

Optimal quadrature formulas of closed type in the space L2(m)​(0,1)

Optimal Quadrature Formulas with Positive Coefficients in L2(m)​(0,1) Space

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

Optimization of Adams-type difference formulas in Hilbert space $W_{2}^{(2, 1)} (0, 1)$

Optimal quadrature formulas of closed type in the space $L_{2}^{(m)} (0, 1)$

Optimal Quadrature Formulas with Positive Coefficients in $L_{2}^{(m)} (0, 1)$ Space

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