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A.R. Hayotov

60 works

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

    ArticleAdvanced Numerical Analysis TechniquesApplied Mathematics and Computation201413 citations
    ABI

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

    A.R. Hayotov, Bakhromjon Bozarov

    ArticleMathematical functions and polynomialsAIP conference proceedings202112 citations
    ABI

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

    A.R. Hayotov, Rashidjon Rasulov

    ArticleMathematical functions and polynomialsAIP conference proceedings202111 citations
    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

    ChapterAdvanced Numerical Analysis Techniques201410 citations
    ABI

  5. 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
    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

    ArticleElectromagnetic Scattering and AnalysisResults in Applied Mathematics20247 citations
    ABI

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

    A.R. Hayotov, Samandar Babaev, Nurali Olimov

    ArticleAdvanced Numerical Analysis TechniquesFilomat20246 citations
    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

    ArticleMathematical functions and polynomialsJournal of Computational and Applied Mathematics20245 citations
    ABI

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

    Kholmat Shadimetov, A.R. Hayotov, Botir Abdikayimov

    ArticleMathematical functions and polynomialsAlgorithms20225 citations
    ABI

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

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

    ArticleIterative Methods for Nonlinear EquationsPublications de l Institut Mathematique20144 citations
    ABI

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

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

    ArticleIterative Methods for Nonlinear EquationsStudia Universitatis Babes-Bolyai Matematica20243 citations
    ABI

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

    A.R. Hayotov, Umedjon Khayriev

    ArticleMathematical functions and polynomialsAIP conference proceedings20243 citations
    ABI

  13. Construction of Optimal Interpolation Formulas in the Sobolev Space

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

    ArticleMathematical functions and polynomialsContemporary Mathematics Fundamental Directions20183 citations
    ABI

  14. 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
    ABI

  15. 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
    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

    PreprintMathematical functions and polynomialsarXiv (Cornell University)20191 citations
    ABI

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

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

    ArticleMathematical functions and polynomialsВестник КРАУНЦ Физико-математические науки20201 citations
    ABI

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

    A.R. Hayotov, Samandar Babaev, Bobomurod Boytillayev

    ArticleFractional Differential Equations SolutionsResults in Applied Mathematics20251 citations
    ABI

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

    A.R. Hayotov, Samandar Babaev, Abdimumin Kurbonnazarov

    ArticleMathematical functions and polynomialsResults in Applied Mathematics20251 citations
    ABI

  20. 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
    ABI

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

    Kh. M. Shadimetov, A.R. Hayotov

    PreprintIterative Methods for Nonlinear EquationsarXiv (Cornell University)20100 citations
    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

    PreprintIterative Methods for Nonlinear EquationsFilomat20200 citations
    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

    ArticleDifferential Equations and Numerical MethodsВестник КРАУНЦ Физико-математические науки20230 citations
    ABI

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

    A.R. Hayotov, Negmurod Doniyorov

    ArticleAdvanced Numerical Analysis TechniquesAIP conference proceedings20240 citations
    ABI

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

    A.R. Hayotov, Bobomurod Boytillayev

    ArticleFractional Differential Equations SolutionsAIP conference proceedings20240 citations
    ABI