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A.R. Hayotov

Работ: 60

Institute of Mathematics, National University of Uzbekistan, Tashkent, Uzbekistan

  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 interpolation formulas in the space $$W_2^{(m,m-1)}$$

    Samandar Babaev, A.R. Hayotov

    СтатьяMathematical functions and polynomialsCALCOLO2019Цитирований: 34
    ABI

  4. 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

  5. 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

  6. Application of optimal quadrature formulas for reconstruction of CT images

    A.R. Hayotov, Soomin Jeon, Kholmat Shadimetov

    СтатьяMathematical functions and polynomialsJournal of Computational and Applied Mathematics2020Цитирований: 28
    ABI

  7. Construction of an Optimal Quadrature Formula in the Hilbert Space of Periodic Functions

    A.R. Hayotov, Umedjon Khayriev

    СтатьяMathematical functions and polynomialsLobachevskii Journal of Mathematics2022Цитирований: 28
    ABI

  8. 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

  9. 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

  10. 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

  11. Interpolation splines minimizing a semi-norm

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

    СтатьяAdvanced Numerical Analysis TechniquesCALCOLO2013Цитирований: 26
    ABI

  12. 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

  13. Construction of interpolation splines minimizing semi-norm in $W_{2}^{(m,m-1)}(0,1)$ space

    Kholmat Shadimetov, A.R. Hayotov

    СтатьяAdvanced Numerical Analysis TechniquesBIT Numerical Mathematics2012Цитирований: 25
    ABI

  14. 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

  15. Optimal quadrature formulas for oscillatory integrals in the Sobolev space

    Kholmat Shadimetov, A.R. Hayotov, Bakhromjon Bozarov

    СтатьяMathematical functions and polynomialsJournal of Inequalities and Applications2022Цитирований: 23
    ABI

  16. Optimal interpolation formulas with derivative in the space L(m)2(0,1)

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

    СтатьяDifferential Equations and Boundary ProblemsFilomat2019Цитирований: 22
    ABI

  17. 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

  18. Optimal quadrature formula in space

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

    СтатьяAerospace Engineering and Control SystemsApplied Numerical Mathematics2012Цитирований: 20
    ABI

  19. Construction of Optimal Interpolation Formulas in the Sobolev Space

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

    СтатьяAdvanced Numerical Analysis TechniquesJournal of Mathematical Sciences2022Цитирований: 18
    ABI

  20. 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

  21. An Optimal Quadrature Formula for Numerical Integration of the Right Riemann–Liouville Fractional Integral

    A.R. Hayotov, Samandar Babaev

    СтатьяFractional Differential Equations SolutionsLobachevskii Journal of Mathematics2023Цитирований: 16
    ABI

  22. Construction of Interpolation Splines Minimizing the Semi-norm in the Space K2(Pm)

    A.R. Hayotov

    СтатьяAdvanced Numerical Analysis TechniquesJournal of Siberian Federal University Mathematics & Physics2018Цитирований: 16
    ABI

  23. 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

  24. Optimal Quadrature Formula for Numerical Integration of Fractional Integrals in a Hilbert Space

    A.R. Hayotov, Samandar Babaev

    СтатьяMathematical functions and polynomialsJournal of Mathematical Sciences2023Цитирований: 14
    ABI

  25. The discrete analogue of a differential operator and its applications

    A.R. Hayotov

    СтатьяMathematical functions and polynomialsLithuanian Mathematical Journal2014Цитирований: 13
    ABI