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Works cited by this work

31 works

Work: Optimization of the Approximate Integration Formula Using the Discrete Analogue of a High-Order Differential Operator

  1. Untitled

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    ABI

  2. Best Approximate Integration Formulas; Best Approximation Formulas

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  3. The Coefficients of Optimal Quadrature Formulas

    С. Л. Соболев

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  4. 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

  5. On optimal quadrature formulae

    Flavia Lanzara

    Article200036 citations
    ABI

  6. On the weights of Sard's quadrature formulas

    Peter Köhler

    Article198831 citations
    ABI

  7. On Monosplines of Least Deviation and Best Quadrature Formulae

    I. J. Schoenberg

    Article196529 citations
    ABI

  8. 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

  9. Best Approximate Integration Formulas

    Leroy F. Meyers, Arthur Sard

    Article195029 citations
    ABI

  10. 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

  11. 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

  12. 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

  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. On Monosplines of Least Square Deviation and Best Quadrature Formulae II

    I. J. Schoenberg

    Article196623 citations
    ABI

  15. Spline Functions: Basic Theory

    Larry L. Schumaker

    Book200717 citations
    ABI

  16. 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

  17. Quadrature Formulae

    Aldo Ghizzetti, Alessandro Ossicini

    Book197015 citations
    ABI

  18. 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

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

    A.R. Hayotov

    ArticleMathematical functions and polynomialsLithuanian Mathematical Journal201413 citations
    ABI

  20. Untitled

    Other12 citations
    ABI

  21. Untitled

    Other12 citations
    ABI

  22. Optimal quadrature formulas

    Meishe Isakovich Levin, Jury Girshovich

    Book197910 citations
    ABI

  23. Linear Approximation

    Arthur Sard

    Book19639 citations
    ABI

  24. On optimal quadrature formulas

    A. V. Gavrilov

    Article20078 citations
    ABI

  25. On equidistant cubic spline interpolation

    I. J. Schoenberg

    Article19716 citations
    ABI