Works citing this work

27 works

Work: Optimal quadratures in the sense of Sard in a Hilbert space

Construction of an Optimal Quadrature Formula in the Hilbert Space of Periodic Functions
A.R. Hayotov, Umedjon Khayriev
ArticleMathematical functions and polynomialsLobachevskii Journal of Mathematics202228 citations
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Optimal formulas for the approximate-analytical solution of the general Abel integral equation in the Sobolev space
Kholmat Shadimetov, Bakhtiyor S. Daliev
ArticleMathematical functions and polynomialsResults in Applied Mathematics202223 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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Construction of Optimal Quadrature Formulas Exact for Exponentional-trigonometric Functions by Sobolev’s Method
A.K. Boltaev, A.R. Hayotov, Kholmat Shadimetov
ArticleMathematical functions and polynomialsActa Mathematica Sinica English Series202114 citations
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Composite optimal formulas for approximate integration of weight integrals
Kholmat Shadimetov, Bahtiyor Daliyev
ArticleMathematical functions and polynomialsAIP conference proceedings202111 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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Weight optimal order of convergence cubature formulas in Sobolev space
O. I. Jalolov
ArticleMathematical Approximation and IntegrationAIP conference proceedings20219 citations
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Оптимальные квадратурные формулы в пространстве W2(m,m−1) периодических функций
A.R. Hayotov, Umedjon Khayriev
ArticleMathematical Approximation and IntegrationВестник КРАУНЦ Физико-математические науки20227 citations
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Optimal quadrature formulas with derivatives in a periodic space
Kholmat Shadimetov, Нилуфар Хусеновна Маматова
ArticleMathematical functions and polynomialsAIP conference proceedings20217 citations
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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
ArticleIterative Methods for Nonlinear EquationsMathematics20236 citations
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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
ArticleMathematical functions and polynomialsAIP conference proceedings20244 citations
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The algorithm for constructing a differential operator of 2nd order and finding a fundamental solution
Ikrom I. Jalolov
ArticleIterative Methods for Nonlinear EquationsAIP conference proceedings20213 citations
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Construction of natural L spline in W2,σ(2,1) space
Samandar Babaev, Nurali Olimov, Shafoat Imomova +1
ArticleAdvanced Numerical Analysis TechniquesAIP conference proceedings20243 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, Kh. M. Shadimetov
PreprintMathematical functions and polynomialsarXiv (Cornell University)20191 citations
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An Optimal Quadrature Formula With Derivative for Weakly Singular Integrals
A.R. Hayotov, Samandar Babaev
ArticleFractional Differential Equations SolutionsMathematical Methods in the Applied Sciences20251 citations
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The discrete convolution operator Dm[β]
Kholmat Shadimetov, Shermamat Esanov
ArticleDifferential Equations and Boundary ProblemsAIP conference proceedings20211 citations
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The order of convergence of an optimal quadrature formula with derivative in the space W(2,1)2
A.R. Hayotov, Rashidjon Rasulov
PreprintIterative Methods for Nonlinear EquationsFilomat20200 citations
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Construction of the optimal quadrature formula in K2,ω space
Kholmat Shadimetov, Gayratjon Akhmadaliev
ArticleMathematical functions and polynomialsAIP conference proceedings20230 citations
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Coefficients of optimal quadrature formulas in the space of differentiable functions
Kholmat Shadimetov, Farhod Nuraliev, Siroj Azamov +1
ArticleMathematical functions and polynomialsAIP conference proceedings20240 citations
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Optimization of difference formulas for solving differential equations in the Hilbert space
Kholmat Shadimetov, Shermamat Esanov
ArticleNumerical methods for differential equationsAIP conference proceedings20240 citations
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Optimal coefficients of an implicit difference formula in the Hilbert space
Kholmat Shadimetov, R.S. Karimov
ArticleDifferential Equations and Numerical MethodsAIP conference proceedings20240 citations
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On an optimal formula for approximate integration
Kholmat Shadimetov, Fotima Davlatova
ArticleAdvanced Numerical Analysis TechniquesAIP conference proceedings20240 citations
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On the construction of optimal quadrature formulas with equally spaced nodes
Kh. M. Shadimetov, Siroj Azamov
ArticleMathematical functions and polynomialsFilomat20240 citations
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Weighted Optimal Quadrature Formulas in Sobolev Space and Their Applications
Kholmat Shadimetov, Khojiakbar Usmanov
ArticleMathematical functions and polynomialsAlgorithms20250 citations
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An Optimal Quadrature Formula with Derivative in the Hilbert Space
A.R. Hayotov, Samandar Babaev
ChapterMathematical functions and polynomialsSpringer optimization and its applications20250 citations
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