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Kh. M. Shadimetov

32 works

Institute of Mathematics, National University of Uzbekistan, 29, Do‘rmon yo‘li str., Tashkent, 100125, Uzbekistan

  1. 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

  2. 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

  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. 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

  5. Optimal quadrature formulas with derivatives for Cauchy type singular integrals

    D.M. Akhmedov, A.R. Hayotov, Kh. M. Shadimetov

    ArticleMathematical functions and polynomialsApplied Mathematics and Computation201726 citations
    ABI

  6. Optimal quadrature formulas for Cauchy type singular integrals in Sobolev space

    Kh. M. Shadimetov, A.R. Hayotov, D.M. Akhmedov

    ArticleMathematical functions and polynomialsApplied Mathematics and Computation201524 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. Construction of Optimal Interpolation Formulas in the Sobolev Space

    Kh. M. Shadimetov, A.R. Hayotov, F.A. Nuraliev

    ArticleAdvanced Numerical Analysis TechniquesJournal of Mathematical Sciences202218 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 <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

  12. An Exponential-Trigonometric Optimal Interpolation Formula

    Kh. M. Shadimetov, A.K. Boltaev

    ArticleMathematical Approximation and IntegrationLobachevskii Journal of Mathematics20238 citations
    ABI

  13. On the problem of optimal interpolation of functions

    Kh. M. Shadimetov, N. H. Mamatova

    ArticleAdvanced Numerical Analysis TechniquesIzvestiya Vysshikh Uchebnykh Zavedenii Matematika20233 citations
    ABI

  14. On the Optimal Interpolation of Functions

    Kh. M. Shadimetov, N. H. Mamatova

    ArticleAdvanced Numerical Analysis TechniquesRussian Mathematics20233 citations
    ABI

  15. Compound Cubature Formulas on a Lattice

    Kh. M. Shadimetov, N. Kh. Mamatova

    ArticleAdvanced Numerical Analysis TechniquesRussian Mathematics20233 citations
    ABI

  16. Construction of Optimal Interpolation Formulas in the Sobolev Space

    Kh. M. Shadimetov, A.R. Hayotov, F.A. Nuraliev

    ArticleMathematical functions and polynomialsContemporary Mathematics Fundamental Directions20183 citations
    ABI

  17. 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

  18. 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

  19. 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

  20. Perfect Quadratic Forms Connected With a Lattice and Cubature Formulas

    Kh. M. Shadimetov, Otabek Gulomov

    ArticleMathematics and ApplicationsInternational Journal of Analysis and Applications20241 citations
    ABI

  21. Optimal Formulas for Calculating Linear Functionals

    Kh. M. Shadimetov, N. H. Mamatova

    ArticleMathematical functions and polynomialsLobachevskii Journal of Mathematics20241 citations
    ABI

  22. Экстремальная функция интерполяционных формул в пространстве W2(2,0)

    A.K. Boltaev, Kh. M. Shadimetov, F.A. Nuraliev

    ArticleAdvanced Numerical Analysis TechniquesВестник КРАУНЦ Физико-математические науки20211 citations
    ABI

  23. Optimal Quadrature Formulas in the Sense of Sard in $W_2^{(m,m-1)}$ Space

    Kh. M. Shadimetov, A.R. Hayotov

    PreprintIterative Methods for Nonlinear EquationsarXiv (Cornell University)20100 citations
    ABI

  24. Optimal Difference Formulas in the Sobolev Space

    Kh. M. Shadimetov, Ravshan Mirzakabilov

    ArticleDifferential Equations and Numerical MethodsContemporary Mathematics Fundamental Directions20220 citations
    ABI

  25. 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