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Works cited by this work

19 works

Work: On an optimal formula for approximate integration

  1. Optimal quadrature formulas for computing of Fourier integrals in W2(m,m−1) space

    Abdullo Hayotov, Samandar Babaev

    Article202147 citations
    ABI

  2. Untitled

    Other42 citations
    ABI

  3. 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

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

    Samandar Babaev, A.R. Hayotov

    ArticleMathematical functions and polynomialsCALCOLO201934 citations
    ABI

  5. Optimal interpolation formulas exact for trigonometric functions

    Samandar Babaev, Javlon Davronov, A. A. Abdullaev +1

    Article202329 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. The error functional of optimal interpolation formulas in W2,σ(2,1) space

    A.R. Hayotov, Samandar Babaev, Nurali Olimov +1

    Article202328 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. 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

  12. Optimal quadrature formula in space

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

    ArticleAerospace Engineering and Control SystemsApplied Numerical Mathematics201220 citations
    ABI

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

    Shadimetov Kholmat M.

    ArticleDifferential Equations and Boundary ProblemsJournal of Siberian Federal University Mathematics & Physics201820 citations
    ABI

  14. 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

  15. III.—On a Quadrature Formula for Trigonometric Integrals

    L. N. G. Filon

    Article193018 citations
    ABI

  16. 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

  17. Exponentially weighted optimal quadrature formula with derivative in the space L2(2)

    A.R. Hayotov, Umedjon Khayriev, Farrukhbek Azatov

    Article202313 citations
    ABI

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

    Farhod Nuraliev

    ArticleMathematical functions and polynomialsAIP conference proceedings20219 citations
    ABI

  19. Optimization of explicit difference methods in the Hilbert space W2(2,1)

    Kholmat Shadimetov, A.R. Hayotov, Roziq Karimov

    Article20238 citations
    ABI