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Works citing this work

31 works

Work: On the weights of Sard's quadrature formulas

  1. 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

  2. Construction of optimal quadrature formulas for Fourier coefficients in Sobolev space L 2 ( m ) ( 0 , 1 ) $L_{2}^{(m)}(0,1)$

    Nurali D. Boltaev, A.R. Hayotov, Kh. M. Shadimetov

    ArticleMathematical functions and polynomialsNumerical Algorithms201635 citations
    ABI

  3. 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

  4. 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

  5. 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

  6. 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

  7. 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

  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. 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

  11. 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

  12. 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

  13. Construction of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si13.gif" overflow="scroll"><mml:mrow><mml:msup><mml:mrow><mml:mi>D</mml:mi></mml:mrow><mml:mrow><mml:mi>m</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:math>-splines in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si14.gif" overflow="scroll"><mml:mrow><mml:msubsup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>m</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:msubsup><mml:mo stretchy="false">(</mml:mo><mml:mn>0</mml:mn><mml:mtext>,</mml:mtext><mml:mn>1</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math> space by Sobolev method

    Alberto Cabada, A.R. Hayotov, Kh. M. Shadimetov

    ArticleAdvanced Numerical Analysis TechniquesApplied Mathematics and Computation201413 citations
    ABI

  14. Improvement of the accuracy for the Euler-Maclaurin quadrature formulas

    A.R. Hayotov, Rashidjon Rasulov

    ArticleMathematical functions and polynomialsAIP conference proceedings202111 citations
    ABI

  15. Optimal Quadrature Formulas and Interpolation Splines Minimizing the Semi-Norm in the Hilbert Space $$K_{2}(P_{2})$$

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

    ChapterAdvanced Numerical Analysis Techniques201410 citations
    ABI

  16. Weight optimal order of convergence cubature formulas in Sobolev space

    O. I. Jalolov

    ArticleMathematical Approximation and IntegrationAIP conference proceedings20219 citations
    ABI

  17. 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

  18. The norm of the error functional for the Euler-Maclaurin type quadrature formulas in the space W2(2k,2k−1)(0,1)

    Rashidjon Rasulov, Diyorakhon Mahkamova

    ArticleMathematical functions and polynomialsAIP conference proceedings20244 citations
    ABI

  19. Optimal quadrature formula in the sense of Sard in K2(P3) space

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

    ArticleIterative Methods for Nonlinear EquationsPublications de l Institut Mathematique20144 citations
    ABI

  20. An optimal quadrature formula in K2(P3) space

    Siroj Azamov

    ArticleDifferential Equations and Boundary ProblemsAIP conference proceedings20213 citations
    ABI

  21. An optimal quadrature formula exact to the exponential function by the phi function method

    A.R. Hayotov, Samandar Babaev, Alibek Abduakhadov +1

    ArticleIterative Methods for Nonlinear EquationsStudia Universitatis Babes-Bolyai Matematica20243 citations
    ABI

  22. Calculation of the coefficients of optimal quadrature formulas in space W2,σ(2,1)

    Hakim Kuldoshev, Siroj Azamov

    ArticleDifferential Equations and Boundary ProblemsAIP conference proceedings20212 citations
    ABI

  23. 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

  24. 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

  25. Оптимальные формулы типа Эйлера-Маклорена для численного интегрирования в пространстве Соболева

    A.R. Hayotov, F.A. Nuraliev, Roman Parovik +1

    ArticleMathematical functions and polynomialsВестник КРАУНЦ Физико-математические науки20201 citations
    ABI