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Works citing this work

13 works

Work: The discrete analogue of a differential operator and its applications

  1. 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

  2. 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

  3. 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

  4. 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

  5. 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

  6. The discrete analogue of high-order differential operator and its application to finding coefficients of optimal quadrature formulas

    Khalmatvay Shadimetov, Javlon Davronov

    ArticleIterative Methods for Nonlinear EquationsJournal of Inequalities and Applications20243 citations
    ABI

  7. An Algorithm for Construction of Optimal Integration Formulas in Hilbert Spaces and Its Realization

    Kh. M. Shadimetov, A.R. Hayotov, Gayratjon Akhmadaliev

    ArticleDifferential Equations and Boundary ProblemsInternational Journal of Analysis and Applications20242 citations
    ABI

  8. Construction of optimal quadrature formulas exact for exponentional-trigonometric functions by Sobolev's method

    A.K. Boltaev, A.R. Hayotov, Kh. M. Shadimetov

    PreprintMathematical functions and polynomialsarXiv (Cornell University)20191 citations
    ABI

  9. The discrete convolution operator Dm[β]

    Kholmat Shadimetov, Shermamat Esanov

    ArticleDifferential Equations and Boundary ProblemsAIP conference proceedings20211 citations
    ABI

  10. The discrete analogue of high-order differential operator and its application to finding coefficients of optimal quadrature formulas

    Kh. M. Shadimetov, Javlon Davronov

    PreprintIterative Methods for Nonlinear EquationsResearch Square20230 citations
    ABI

  11. Weighted Optimal Formulas for Approximate Integration

    Kholmat Shadimetov, Ikrom I. Jalolov

    ArticleMathematical functions and polynomialsMathematics20240 citations
    ABI

  12. On the construction of optimal quadrature formulas with equally spaced nodes

    Kh. M. Shadimetov, Siroj Azamov

    ArticleMathematical functions and polynomialsFilomat20240 citations
    ABI

  13. Coefficients of Optimal Interpolation Formulas in the Hilbert Space of Differentiable Functions

    A.R. Hayotov, Negmurod Doniyorov

    ArticleIterative Methods for Nonlinear EquationsLobachevskii Journal of Mathematics20250 citations
    ABI