Skip to main content
AkademIndex

Products

For developers

AkademBasesoonOpen API for the ecosystem
Latin
English
← Back to work

Works cited by this work

53 works

Work: An Optimal Quadrature Formula With Derivative for Weakly Singular Integrals

  1. Theory and Applications of Fractional Differential Equations

    Book200685 citations
    ABI

  2. Untitled

    Other72 citations
    ABI

  3. Best Approximate Integration Formulas; Best Approximation Formulas

    Arthur Sard

    Article194957 citations
    ABI

  4. The Coefficients of Optimal Quadrature Formulas

    С. Л. Соболев

    Chapter200644 citations
    ABI

  5. 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

  6. 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

  7. 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

  8. 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

  9. Approximate Solution of a Singular Integral Equation Using the Sobolev Method

    Kh. M. Shadimetov, D.M. Akhmedov

    ArticleNumerical methods in engineeringLobachevskii Journal of Mathematics202227 citations
    ABI

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

    Kholmat Shadimetov, Bakhtiyor S. Daliev

    ArticleMathematical functions and polynomialsResults in Applied Mathematics202223 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. SOME PROBLEMS ON OPTIMAL QUADRATURE

    Petru Blaga, Gheorghe Coman

    Article200720 citations
    ABI

  13. Untitled

    Other18 citations
    ABI

  14. Untitled

    Other17 citations
    ABI

  15. 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

  16. 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

  17. Optimal quadrature formulas with derivative for Hadamard type singular integrals

    D.M. Akhmedov, Kholmat Shadimetov

    ArticleElectromagnetic Scattering and AnalysisAIP conference proceedings202115 citations
    ABI

  18. 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

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

    A.R. Hayotov, Umedjon Khayriev, Farrukhbek Azatov

    Article202313 citations
    ABI

  20. Optimal Quadrature Formulas for the Sobolev Space $$H^1$$ H 1

    Shun Zhang, Erich Novak

    Article201812 citations
    ABI

  21. Untitled

    Other11 citations
    ABI

  22. Construction of an optimal quadrature formula for the approximation of fractional integrals

    Samandar Babaev

    Article202411 citations
    ABI

  23. Numerical Methods for Fractional Calculus

    Changpin Li, Fanhai Zeng

    Book201510 citations
    ABI

  24. Integral representations of remainders

    Arthur Sard

    Article19489 citations
    ABI

  25. Linear Approximation

    Arthur Sard

    Book19639 citations
    ABI