Works citing this work

38 works

Work: Optimal quadrature formulas in the sense of Sard in $W_2^{(m,m-1)}$ space

Construction of optimal quadrature formulas for Fourier coefficients in Sobolev space L 2 ( m ) ( 0 , 1 ) $L_{2}^{(m)}(0,1)$
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Optimal interpolation formulas in the space $$W_2^{(m,m-1)}$$
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Optimal quadrature formulas for non-periodic functions in Sobolev space and its application to CT image reconstruction
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Optimal quadratures in the sense of Sard in a Hilbert space
A.R. Hayotov, Gradimir V. Milovanović, Kholmat Shadimetov
ArticleMathematical functions and polynomialsApplied Mathematics and Computation201527 citations
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Optimal interpolation formulas with derivative in the space L(m)2(0,1)
M.Kh. Shadimetov, A.R. Hayotov, F.A. Nuraliev
ArticleDifferential Equations and Boundary ProblemsFilomat201922 citations
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Optimal Formulas of Numerical Integration with Derivatives in Sobolev Space
Shadimetov Kholmat M.
ArticleDifferential Equations and Boundary ProblemsJournal of Siberian Federal University Mathematics & Physics201820 citations
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An Optimal Quadrature Formula for Numerical Integration of the Right Riemann–Liouville Fractional Integral
A.R. Hayotov, Samandar Babaev
ArticleFractional Differential Equations SolutionsLobachevskii Journal of Mathematics202316 citations
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Construction of Optimal Quadrature Formulas Exact for Exponentional-trigonometric Functions by Sobolev’s Method
A.K. Boltaev, A.R. Hayotov, Kholmat Shadimetov
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The discrete analogue of a differential operator and its applications
A.R. Hayotov
ArticleMathematical functions and polynomialsLithuanian Mathematical Journal201413 citations
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Improvement of the accuracy for the Euler-Maclaurin quadrature formulas
A.R. Hayotov, Rashidjon Rasulov
ArticleMathematical functions and polynomialsAIP conference proceedings202111 citations
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Optimal Quadrature Formulas and Interpolation Splines Minimizing the Semi-Norm in the Hilbert Space $$K_{2}(P_{2})$$
A.R. Hayotov, Gradimir V. Milovanović, Kholmat Shadimetov
ChapterAdvanced Numerical Analysis Techniques201410 citations
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The numerical solution of a Fredholm integral equations of the second kind by the weighted optimal quadrature formula
A.R. Hayotov, Samandar Babaev
ArticleElectromagnetic Scattering and AnalysisResults in Applied Mathematics20247 citations
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Optimal quadrature formulas with derivatives in a periodic space
Kholmat Shadimetov, Нилуфар Хусеновна Маматова
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Optimization of the Approximate Integration Formula Using the Discrete Analogue of a High-Order Differential Operator
Kholmat Shadimetov, A.K. Boltaev, Roman Parovik
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On a construction method of optimal difference formulas
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The norm of the error functional for the Euler-Maclaurin type quadrature formulas in the space W2(2k,2k−1)(0,1)
Rashidjon Rasulov, Diyorakhon Mahkamova
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Construction of natural L spline in W2,σ(2,1) space
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Optimal quadrature formulas for the approximate calculation of the Riemann-Liouville fractional order integral
Kholmat Shadimetov, Farhod Nuraliev, Otajon Toshboev
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An optimal quadrature formula exact to the exponential function by the phi function method
A.R. Hayotov, Samandar Babaev, Alibek Abduakhadov +1
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The discrete analogue of high-order differential operator and its application to finding coefficients of optimal quadrature formulas
Khalmatvay Shadimetov, Javlon Davronov
ArticleIterative Methods for Nonlinear EquationsJournal of Inequalities and Applications20243 citations
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Numerical integration of Fourier integrals by the optimal quadrature formula exact for hyperbolic functions
A.R. Hayotov, Abdimumin Kurbonnazarov, Sarvarbek Z. Polvonov
ArticleMathematical functions and polynomialsAIP conference proceedings20242 citations
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An Algorithm for Construction of Optimal Integration Formulas in Hilbert Spaces and Its Realization
Kh. M. Shadimetov, A.R. Hayotov, Gayratjon Akhmadaliev
ArticleDifferential Equations and Boundary ProblemsInternational Journal of Analysis and Applications20242 citations
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Оптимальные формулы типа Эйлера-Маклорена для численного интегрирования в пространстве Соболева
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ArticleMathematical functions and polynomialsВестник КРАУНЦ Физико-математические науки20201 citations
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To construct basis functions in W2(1,0) space to finite element method for 1D two-point boundary-value problems
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An Optimal Quadrature Formula With Derivative for Weakly Singular Integrals
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