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Works cited by this work

35 works

Work: Construction of natural L spline in W2,σ(2,1) space

  1. Untitled

    Other72 citations
    ABI

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

    Abdullo Hayotov, Samandar Babaev

    Article202147 citations
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  3. Untitled

    Other42 citations
    ABI

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

    Samandar Babaev, A.R. Hayotov

    ArticleMathematical functions and polynomialsCALCOLO201934 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 in the sense of Sard

    A.R. Hayotov, Gradimir V. Milovanović, Kholmat Shadimetov

    ArticleMathematical Inequalities and ApplicationsNumerical Algorithms201029 citations
    ABI

  8. Optimal interpolation formulas exact for trigonometric functions

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

    Article202329 citations
    ABI

  9. 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

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

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

    Article202328 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. 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

  14. Interpolation splines minimizing a semi-norm

    A.R. Hayotov, Gradimir V. Milovanović, Kholmat Shadimetov

    ArticleAdvanced Numerical Analysis TechniquesCALCOLO201326 citations
    ABI

  15. 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

  16. Optimal quadrature formulas for oscillatory integrals in the Sobolev space

    Kholmat Shadimetov, A.R. Hayotov, Bakhromjon Bozarov

    ArticleMathematical functions and polynomialsJournal of Inequalities and Applications202223 citations
    ABI

  17. "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

  18. Multidimensional Minimizing Splines

    Arcangéli, Rémi, Rémi Arcangéli, Marı́a Cruz López de Silanes +2

    Book200417 citations
    ABI

  19. Spline Functions: Basic Theory

    Larry L. Schumaker

    Book200717 citations
    ABI

  20. Untitled

    Other17 citations
    ABI

  21. 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

  22. 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

  23. 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

  24. Optimal quadrature formulas with the trigonometric weight in the Sobolev space

    A.R. Hayotov, Bakhromjon Bozarov

    ArticleMathematical functions and polynomialsAIP conference proceedings202112 citations
    ABI

  25. On an exponential-trigonometric natural interpolation spline

    A.K. Boltaev, D.M. Akhmedov

    ArticleAdvanced Numerical Analysis TechniquesAIP conference proceedings202111 citations
    ABI