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A.R. Hayotov

60 works

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

    ArticleMathematical functions and polynomialsCALCOLO201338 citations
    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

    ArticleMathematical functions and polynomialsNumerical Algorithms201635 citations
    ABI

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

    Samandar Babaev, A.R. Hayotov

    ArticleMathematical functions and polynomialsCALCOLO201934 citations
    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

    ArticleMathematical functions and polynomialsJournal of Computational and Applied Mathematics201033 citations
    ABI

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

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

    ArticleMathematical Inequalities and ApplicationsNumerical Algorithms201029 citations
    ABI

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

    A.R. Hayotov, Soomin Jeon, Kholmat Shadimetov

    ArticleMathematical functions and polynomialsJournal of Computational and Applied Mathematics202028 citations
    ABI

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

    A.R. Hayotov, Umedjon Khayriev

    ArticleMathematical functions and polynomialsLobachevskii Journal of Mathematics202228 citations
    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

    ArticleNumerical methods in inverse problemsJournal of Computational and Applied Mathematics202027 citations
    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

    ArticleNumerical methods in inverse problemsFilomat202127 citations
    ABI

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

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

    ArticleMathematical functions and polynomialsApplied Mathematics and Computation201527 citations
    ABI

  11. Interpolation splines minimizing a semi-norm

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

    ArticleAdvanced Numerical Analysis TechniquesCALCOLO201326 citations
    ABI

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

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

    ArticleMathematical functions and polynomialsApplied Mathematics and Computation201726 citations
    ABI

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

    Kholmat Shadimetov, A.R. Hayotov

    ArticleAdvanced Numerical Analysis TechniquesBIT Numerical Mathematics201225 citations
    ABI

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

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

    ArticleMathematical functions and polynomialsApplied Mathematics and Computation201524 citations
    ABI

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

    Kholmat Shadimetov, A.R. Hayotov, Bakhromjon Bozarov

    ArticleMathematical functions and polynomialsJournal of Inequalities and Applications202223 citations
    ABI

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

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

    ArticleDifferential Equations and Boundary ProblemsFilomat201922 citations
    ABI

  17. Optimal quadrature formulas of Euler–Maclaurin type

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

    ArticleFractional Differential Equations SolutionsApplied Mathematics and Computation201621 citations
    ABI

  18. Optimal quadrature formula in space

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

    ArticleAerospace Engineering and Control SystemsApplied Numerical Mathematics201220 citations
    ABI

  19. Construction of Optimal Interpolation Formulas in the Sobolev Space

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

    ArticleAdvanced Numerical Analysis TechniquesJournal of Mathematical Sciences202218 citations
    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

    ArticleMathematical functions and polynomialsJournal of Computational and Applied Mathematics201217 citations
    ABI

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

    A.R. Hayotov, Samandar Babaev

    ArticleFractional Differential Equations SolutionsLobachevskii Journal of Mathematics202316 citations
    ABI

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

    A.R. Hayotov

    ArticleAdvanced Numerical Analysis TechniquesJournal of Siberian Federal University Mathematics & Physics201816 citations
    ABI

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

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

    ArticleMathematical functions and polynomialsActa Mathematica Sinica English Series202114 citations
    ABI

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

    A.R. Hayotov, Samandar Babaev

    ArticleMathematical functions and polynomialsJournal of Mathematical Sciences202314 citations
    ABI

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

    A.R. Hayotov

    ArticleMathematical functions and polynomialsLithuanian Mathematical Journal201413 citations
    ABI