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Работы, цитирующие эту работу

Работ: 36

Работа: On optimal quadrature formulae

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

    Kholmat Shadimetov, A.R. Hayotov

    СтатьяMathematical functions and polynomialsCALCOLO2013Цитирований: 38
    ABI

  2. Construction of optimal quadrature formulas for Fourier coefficients in Sobolev space L 2 ( m ) ( 0 , 1 ) $L_{2}^{(m)}(0,1)$

    Nurali D. Boltaev, A.R. Hayotov, Kh. M. Shadimetov

    СтатьяMathematical functions and polynomialsNumerical Algorithms2016Цитирований: 35
    ABI

  3. Optimal quadrature formulas with positive coefficients in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:msubsup><mml:mrow><mml:mi>L</mml:mi></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:mrow></mml:mrow></mml:msubsup><mml:mrow><mml:mo>(</mml:mo><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math>space

    Kh. M. Shadimetov, A.R. Hayotov

    СтатьяMathematical functions and polynomialsJournal of Computational and Applied Mathematics2010Цитирований: 33
    ABI

  4. On an optimal quadrature formula in the sense of Sard

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

    СтатьяMathematical Inequalities and ApplicationsNumerical Algorithms2010Цитирований: 29
    ABI

  5. On an optimal quadrature formula for approximation of Fourier integrals in the space <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e947" altimg="si5.svg"><mml:msubsup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math>

    A.R. Hayotov, Soomin Jeon, Chang-Ock Lee

    СтатьяNumerical methods in inverse problemsJournal of Computational and Applied Mathematics2020Цитирований: 27
    ABI

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

    A.R. Hayotov, Seok Hwi Jeon, C.-O. Lee +1

    СтатьяNumerical methods in inverse problemsFilomat2021Цитирований: 27
    ABI

  7. Optimal quadratures in the sense of Sard in a Hilbert space

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

    СтатьяMathematical functions and polynomialsApplied Mathematics and Computation2015Цитирований: 27
    ABI

  8. Optimal quadrature formulas with derivatives for Cauchy type singular integrals

    D.M. Akhmedov, A.R. Hayotov, Kh. M. Shadimetov

    СтатьяMathematical functions and polynomialsApplied Mathematics and Computation2017Цитирований: 26
    ABI

  9. Optimal quadrature formulas for Cauchy type singular integrals in Sobolev space

    Kh. M. Shadimetov, A.R. Hayotov, D.M. Akhmedov

    СтатьяMathematical functions and polynomialsApplied Mathematics and Computation2015Цитирований: 24
    ABI

  10. Optimal quadrature formulas of Euler–Maclaurin type

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

    СтатьяFractional Differential Equations SolutionsApplied Mathematics and Computation2016Цитирований: 21
    ABI

  11. Optimal quadrature formula in space

    Kh. M. Shadimetov, A.R. Hayotov, Siroj Azamov

    СтатьяAerospace Engineering and Control SystemsApplied Numerical Mathematics2012Цитирований: 20
    ABI

  12. Optimal Formulas of Numerical Integration with Derivatives in Sobolev Space

    Shadimetov Kholmat M.

    СтатьяDifferential Equations and Boundary ProblemsJournal of Siberian Federal University Mathematics & Physics2018Цитирований: 20
    ABI

  13. On an optimal quadrature formula in Sobolev space<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si27.gif" display="inline" overflow="scroll"><mml:msubsup><mml:mrow><mml:mi>L</mml:mi></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:mrow></mml:mrow></mml:msubsup><mml:mrow><mml:mo>(</mml:mo><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math>

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

    СтатьяMathematical functions and polynomialsJournal of Computational and Applied Mathematics2012Цитирований: 17
    ABI

  14. Construction of Optimal Quadrature Formulas Exact for Exponentional-trigonometric Functions by Sobolev’s Method

    A.K. Boltaev, A.R. Hayotov, Kholmat Shadimetov

    СтатьяMathematical functions and polynomialsActa Mathematica Sinica English Series2021Цитирований: 14
    ABI

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

    A.R. Hayotov, Rashidjon Rasulov

    СтатьяMathematical functions and polynomialsAIP conference proceedings2021Цитирований: 11
    ABI

  16. 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

  17. Weight optimal order of convergence cubature formulas in Sobolev space

    O. I. Jalolov

    СтатьяMathematical Approximation and IntegrationAIP conference proceedings2021Цитирований: 9
    ABI

  18. Optimization of the Approximate Integration Formula Using the Discrete Analogue of a High-Order Differential Operator

    Kholmat Shadimetov, A.K. Boltaev, Roman Parovik

    СтатьяIterative Methods for Nonlinear EquationsMathematics2023Цитирований: 6
    ABI

  19. 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

    СтатьяMathematical functions and polynomialsAIP conference proceedings2024Цитирований: 4
    ABI

  20. 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

  21. An optimal quadrature formula in K2(P3) space

    Siroj Azamov

    СтатьяDifferential Equations and Boundary ProblemsAIP conference proceedings2021Цитирований: 3
    ABI

  22. 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

  23. 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

  24. 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

  25. 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