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Работы, цитирующие эту работу

Работ: 33

Работа: 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

  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. 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

  4. 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

  5. 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

  6. 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

  7. Optimal formulas for the approximate-analytical solution of the general Abel integral equation in the Sobolev space

    Kholmat Shadimetov, Bakhtiyor S. Daliev

    СтатьяMathematical functions and polynomialsResults in Applied Mathematics2022Цитирований: 23
    ABI

  8. 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

  9. Optimal quadrature formula in space

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

    СтатьяAerospace Engineering and Control SystemsApplied Numerical Mathematics2012Цитирований: 20
    ABI

  10. 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

  11. 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

  12. 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

  13. Composite optimal formulas for approximate integration of weight integrals

    Kholmat Shadimetov, Bahtiyor Daliyev

    СтатьяMathematical functions and polynomialsAIP conference proceedings2021Цитирований: 11
    ABI

  14. 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

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

    O. I. Jalolov

    СтатьяMathematical Approximation and IntegrationAIP conference proceedings2021Цитирований: 9
    ABI

  16. Cubature formulas of Hermite type in the space of periodic functions of two variables

    Farhod Nuraliev

    СтатьяMathematical functions and polynomialsAIP conference proceedings2021Цитирований: 9
    ABI

  17. Optimal quadrature formulas with derivatives in a periodic space

    Kholmat Shadimetov, Нилуфар Хусеновна Маматова

    СтатьяMathematical functions and polynomialsAIP conference proceedings2021Цитирований: 7
    ABI

  18. 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

  19. The algorithm for constructing a differential operator of 2nd order and finding a fundamental solution

    Ikrom I. Jalolov

    СтатьяIterative Methods for Nonlinear EquationsAIP conference proceedings2021Цитирований: 3
    ABI

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

    Siroj Azamov

    СтатьяDifferential Equations and Boundary ProblemsAIP conference proceedings2021Цитирований: 3
    ABI

  21. Construction of natural L spline in W2,σ(2,1) space

    Samandar Babaev, Nurali Olimov, Shafoat Imomova +1

    СтатьяAdvanced Numerical Analysis TechniquesAIP conference proceedings2024Цитирований: 3
    ABI

  22. Calculation of the coefficients of optimal quadrature formulas in space W2,σ(2,1)

    Hakim Kuldoshev, Siroj Azamov

    СтатьяDifferential Equations and Boundary ProblemsAIP conference proceedings2021Цитирований: 2
    ABI

  23. 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

  24. 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

  25. The discrete convolution operator Dm[β]

    Kholmat Shadimetov, Shermamat Esanov

    СтатьяDifferential Equations and Boundary ProblemsAIP conference proceedings2021Цитирований: 1
    ABI