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Works cited by this work

60 works

Work: Weighted Optimal Quadrature Formulas in Sobolev Space and Their Applications

  1. Best Approximate Integration Formulas; Best Approximation Formulas

    Arthur Sard

    Article194957 citations
    ABI

  2. On optimal quadrature formulae

    Flavia Lanzara

    Article200036 citations
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  3. 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

  4. 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

  5. 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

  6. 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

  7. 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

  8. Optimal quadrature formula in space

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

    ArticleAerospace Engineering and Control SystemsApplied Numerical Mathematics201220 citations
    ABI

  9. 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

  10. "Optimal quadrature formulas for approximate solution of the rst kind singular integral equation with Cauchy kernel"

    ", D.M. Akhmedov, Kholmat Shadimetov

    ArticleIterative Methods for Nonlinear EquationsStudia Universitatis Babes-Bolyai Matematica202219 citations
    ABI

  11. 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

  12. An exponential-trigonometric spline minimizing a seminorm in a Hilbert space

    Kholmat Shadimetov, A.K. Boltaev

    ArticleAdvanced Numerical Analysis TechniquesAdvances in Difference Equations202013 citations
    ABI

  13. Untitled

    Other12 citations
    ABI

  14. Interpolation Processes: Basic Theory and Applications

    G. Mastroianni, Gradimir V. Milovanović

    Book201011 citations
    ABI

  15. An Exponential-Trigonometric Optimal Interpolation Formula

    Kh. M. Shadimetov, A.K. Boltaev

    ArticleMathematical Approximation and IntegrationLobachevskii Journal of Mathematics20238 citations
    ABI

  16. Optimization of the Approximate Integration Formula Using the Discrete Analogue of a High-Order Differential Operator

    Kholmat Shadimetov, A.K. Boltaev, Roman Parovik

    ArticleIterative Methods for Nonlinear EquationsMathematics20236 citations
    ABI

  17. Optimal quadrature formulas

    N.S. Kambo

    Article19736 citations
    ABI

  18. Untitled

    Other6 citations
    ABI

  19. 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

    ArticleMathematical functions and polynomialsJournal of Computational and Applied Mathematics20245 citations
    ABI

  20. Untitled

    Other5 citations
    ABI

  21. Untitled

    Other2 citations
    ABI

  22. Numerical treatment of second kind Fredholm integral equations systems on bounded intervals

    Maria Carmela De Bonis, C. Laurita

    Article20072 citations
    ABI

  23. Numerical solutions of the Fredholm integral equations of the second type

    Bülent Yılmaz, Yasin Cetin

    Article20172 citations
    ABI

  24. Quadrature method for linear integral equations in L2(1)(0,1) space

    Kholmat Shadimetov, Khojiakbar Usmanov

    ArticleElectromagnetic Scattering and AnalysisAIP conference proceedings20241 citations
    ABI

  25. Untitled

    Other1 citations
    ABI