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A.R. Hayotov

Работ: 60

University of Santiago de Compostela, Department of Mathematical Analysis, Campus Vida, 15782 Santiago de Compostela, Galicia, Spain

  1. Construction of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si13.gif" overflow="scroll"><mml:mrow><mml:msup><mml:mrow><mml:mi>D</mml:mi></mml:mrow><mml:mrow><mml:mi>m</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:math>-splines in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si14.gif" overflow="scroll"><mml:mrow><mml:msubsup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>m</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:msubsup><mml:mo stretchy="false">(</mml:mo><mml:mn>0</mml:mn><mml:mtext>,</mml:mtext><mml:mn>1</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math> space by Sobolev method

    Alberto Cabada, A.R. Hayotov, Kh. M. Shadimetov

    СтатьяAdvanced Numerical Analysis TechniquesApplied Mathematics and Computation2014Цитирований: 13
    ABI

  2. Optimal quadrature formulas with the trigonometric weight in the Sobolev space

    A.R. Hayotov, Bakhromjon Bozarov

    СтатьяMathematical functions and polynomialsAIP conference proceedings2021Цитирований: 12
    ABI

  3. Improvement of the accuracy for the Euler-Maclaurin quadrature formulas

    A.R. Hayotov, Rashidjon Rasulov

    СтатьяMathematical functions and polynomialsAIP conference proceedings2021Цитирований: 11
    ABI

  4. 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

    ГлаваAdvanced Numerical Analysis Techniques2014Цитирований: 10
    ABI

  5. Оптимальные квадратурные формулы в пространстве W2(m,m−1) периодических функций

    A.R. Hayotov, Umedjon Khayriev

    СтатьяMathematical Approximation and IntegrationВестник КРАУНЦ Физико-математические науки2022Цитирований: 7
    ABI

  6. The numerical solution of a Fredholm integral equations of the second kind by the weighted optimal quadrature formula

    A.R. Hayotov, Samandar Babaev

    СтатьяElectromagnetic Scattering and AnalysisResults in Applied Mathematics2024Цитирований: 7
    ABI

  7. An optimal interpolation formula of Hermite type in the Sobolev space

    A.R. Hayotov, Samandar Babaev, Nurali Olimov

    СтатьяAdvanced Numerical Analysis TechniquesFilomat2024Цитирований: 6
    ABI

  8. Optimal quadrature formulas for approximating strongly oscillating integrals in the Hilbert space <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si6.svg" display="inline" id="d1e1958"><mml:msubsup><mml:mrow><mml:mover accent="true"><mml:mrow><mml:mi>W</mml:mi></mml:mrow><mml:mrow><mml:mo>˜</mml:mo></mml:mrow></mml:mover></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mi>m</mml:mi><mml:mo>,</mml:mo><mml:mi>m</mml:mi><mml:mo>−</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math> of periodic functions

    Kholmat Shadimetov, A.R. Hayotov, Umedjon Khayriev

    СтатьяMathematical functions and polynomialsJournal of Computational and Applied Mathematics2024Цитирований: 5
    ABI

  9. On an Optimal Quadrature Formula in a Hilbert Space of Periodic Functions

    Kholmat Shadimetov, A.R. Hayotov, Botir Abdikayimov

    СтатьяMathematical functions and polynomialsAlgorithms2022Цитирований: 5
    ABI

  10. Optimal quadrature formula in the sense of Sard in K2(P3) space

    A.R. Hayotov, Gradimir V. Milovanović, Kholmat Shadimetov

    СтатьяIterative Methods for Nonlinear EquationsPublications de l Institut Mathematique2014Цитирований: 4
    ABI

  11. An optimal quadrature formula exact to the exponential function by the phi function method

    A.R. Hayotov, Samandar Babaev, Alibek Abduakhadov +1

    СтатьяIterative Methods for Nonlinear EquationsStudia Universitatis Babes-Bolyai Matematica2024Цитирований: 3
    ABI

  12. An optimal quadrature formula for approximating Fourier integrals in a Hilbert space

    A.R. Hayotov, Umedjon Khayriev

    СтатьяMathematical functions and polynomialsAIP conference proceedings2024Цитирований: 3
    ABI

  13. Construction of Optimal Interpolation Formulas in the Sobolev Space

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

    СтатьяMathematical functions and polynomialsContemporary Mathematics Fundamental Directions2018Цитирований: 3
    ABI

  14. Numerical integration of Fourier integrals by the optimal quadrature formula exact for hyperbolic functions

    A.R. Hayotov, Abdimumin Kurbonnazarov, Sarvarbek Z. Polvonov

    СтатьяMathematical functions and polynomialsAIP conference proceedings2024Цитирований: 2
    ABI

  15. An Algorithm for Construction of Optimal Integration Formulas in Hilbert Spaces and Its Realization

    Kh. M. Shadimetov, A.R. Hayotov, Gayratjon Akhmadaliev

    СтатьяDifferential Equations and Boundary ProblemsInternational Journal of Analysis and Applications2024Цитирований: 2
    ABI

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

    A.K. Boltaev, A.R. Hayotov, Kh. M. Shadimetov

    ПрепринтMathematical functions and polynomialsarXiv (Cornell University)2019Цитирований: 1
    ABI

  17. Оптимальные формулы типа Эйлера-Маклорена для численного интегрирования в пространстве Соболева

    A.R. Hayotov, F.A. Nuraliev, Roman Parovik +1

    СтатьяMathematical functions and polynomialsВестник КРАУНЦ Физико-математические науки2020Цитирований: 1
    ABI

  18. The numerical solution of an Abel integral equation by the optimal quadrature formula

    A.R. Hayotov, Samandar Babaev, Bobomurod Boytillayev

    СтатьяFractional Differential Equations SolutionsResults in Applied Mathematics2025Цитирований: 1
    ABI

  19. Optimization of approximate integrals of rapidly oscillating functions in the Hilbert space

    A.R. Hayotov, Samandar Babaev, Abdimumin Kurbonnazarov

    СтатьяMathematical functions and polynomialsResults in Applied Mathematics2025Цитирований: 1
    ABI

  20. An Optimal Quadrature Formula With Derivative for Weakly Singular Integrals

    A.R. Hayotov, Samandar Babaev

    СтатьяFractional Differential Equations SolutionsMathematical Methods in the Applied Sciences2025Цитирований: 1
    ABI

  21. Optimal Quadrature Formulas in the Sense of Sard in $W_2^{(m,m-1)}$ Space

    Kh. M. Shadimetov, A.R. Hayotov

    ПрепринтIterative Methods for Nonlinear EquationsarXiv (Cornell University)2010Цитирований: 0
    ABI

  22. The order of convergence of an optimal quadrature formula with derivative in the space W(2,1)2

    A.R. Hayotov, Rashidjon Rasulov

    ПрепринтIterative Methods for Nonlinear EquationsFilomat2020Цитирований: 0
    ABI

  23. Распараллеливание численного алгоритма решения задачи Коши для нелинейного дифференциального уравнения дробного переменного порядка с помощью технологии OpenMP

    Dmitrii Tverdyi, Roman Parovik, A.R. Hayotov +1

    СтатьяDifferential Equations and Numerical MethodsВестник КРАУНЦ Физико-математические науки2023Цитирований: 0
    ABI

  24. Construction of an optimal interpolation formula exact for trigonometric functions

    A.R. Hayotov, Negmurod Doniyorov

    СтатьяAdvanced Numerical Analysis TechniquesAIP conference proceedings2024Цитирований: 0
    ABI

  25. An approximate solution method of Abel’s integral equation in the Hilbert space

    A.R. Hayotov, Bobomurod Boytillayev

    СтатьяFractional Differential Equations SolutionsAIP conference proceedings2024Цитирований: 0
    ABI