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Kh. M. Shadimetov

Работ: 32

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

    СтатьяMathematical functions and polynomialsNumerical Algorithms2016Цитирований: 35
    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

    СтатьяMathematical functions and polynomialsJournal of Computational and Applied Mathematics2010Цитирований: 33
    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

    СтатьяNumerical methods in inverse problemsFilomat2021Цитирований: 27
    ABI

  4. Approximate Solution of a Singular Integral Equation Using the Sobolev Method

    Kh. M. Shadimetov, D.M. Akhmedov

    СтатьяNumerical methods in engineeringLobachevskii Journal of Mathematics2022Цитирований: 27
    ABI

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

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

    СтатьяMathematical functions and polynomialsApplied Mathematics and Computation2017Цитирований: 26
    ABI

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

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

    СтатьяMathematical functions and polynomialsApplied Mathematics and Computation2015Цитирований: 24
    ABI

  7. Optimal quadrature formulas of Euler–Maclaurin type

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

    СтатьяFractional Differential Equations SolutionsApplied Mathematics and Computation2016Цитирований: 21
    ABI

  8. Optimal quadrature formula in space

    Kh. M. Shadimetov, A.R. Hayotov, Siroj Azamov

    СтатьяAerospace Engineering and Control SystemsApplied Numerical Mathematics2012Цитирований: 20
    ABI

  9. Construction of Optimal Interpolation Formulas in the Sobolev Space

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

    СтатьяAdvanced Numerical Analysis TechniquesJournal of Mathematical Sciences2022Цитирований: 18
    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

    СтатьяMathematical functions and polynomialsJournal of Computational and Applied Mathematics2012Цитирований: 17
    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

    СтатьяAdvanced Numerical Analysis TechniquesApplied Mathematics and Computation2014Цитирований: 13
    ABI

  12. An Exponential-Trigonometric Optimal Interpolation Formula

    Kh. M. Shadimetov, A.K. Boltaev

    СтатьяMathematical Approximation and IntegrationLobachevskii Journal of Mathematics2023Цитирований: 8
    ABI

  13. On the problem of optimal interpolation of functions

    Kh. M. Shadimetov, N. H. Mamatova

    СтатьяAdvanced Numerical Analysis TechniquesIzvestiya Vysshikh Uchebnykh Zavedenii Matematika2023Цитирований: 3
    ABI

  14. On the Optimal Interpolation of Functions

    Kh. M. Shadimetov, N. H. Mamatova

    СтатьяAdvanced Numerical Analysis TechniquesRussian Mathematics2023Цитирований: 3
    ABI

  15. Compound Cubature Formulas on a Lattice

    Kh. M. Shadimetov, N. Kh. Mamatova

    СтатьяAdvanced Numerical Analysis TechniquesRussian Mathematics2023Цитирований: 3
    ABI

  16. Construction of Optimal Interpolation Formulas in the Sobolev Space

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

    СтатьяMathematical functions and polynomialsContemporary Mathematics Fundamental Directions2018Цитирований: 3
    ABI

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

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

    СтатьяDifferential Equations and Boundary ProblemsInternational Journal of Analysis and Applications2024Цитирований: 2
    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

    ПрепринтMathematical functions and polynomialsarXiv (Cornell University)2019Цитирований: 1
    ABI

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

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

    СтатьяMathematical functions and polynomialsВестник КРАУНЦ Физико-математические науки2020Цитирований: 1
    ABI

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

    Kh. M. Shadimetov, Otabek Gulomov

    СтатьяMathematics and ApplicationsInternational Journal of Analysis and Applications2024Цитирований: 1
    ABI

  21. Optimal Formulas for Calculating Linear Functionals

    Kh. M. Shadimetov, N. H. Mamatova

    СтатьяMathematical functions and polynomialsLobachevskii Journal of Mathematics2024Цитирований: 1
    ABI

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

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

    СтатьяAdvanced Numerical Analysis TechniquesВестник КРАУНЦ Физико-математические науки2021Цитирований: 1
    ABI

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

    Kh. M. Shadimetov, A.R. Hayotov

    ПрепринтIterative Methods for Nonlinear EquationsarXiv (Cornell University)2010Цитирований: 0
    ABI

  24. Optimal Difference Formulas in the Sobolev Space

    Kh. M. Shadimetov, Ravshan Mirzakabilov

    СтатьяDifferential Equations and Numerical MethodsContemporary Mathematics Fundamental Directions2022Цитирований: 0
    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

    ПрепринтIterative Methods for Nonlinear EquationsResearch Square2023Цитирований: 0
    ABI