Skip to main content
AkademIndex

Products

For developers

AkademBaseOpen API for the ecosystem
← Back to work

Works citing this work

17 works

Work: Selected Works of S.L. Sobolev

  1. 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

  2. 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

  3. 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

  4. 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

  5. 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

  6. Optimal quadrature formula in space

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

    ArticleAerospace Engineering and Control SystemsApplied Numerical Mathematics201220 citations
    ABI

  7. 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

  8. 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

  9. Comparative Analysis Spline Methods in Digital Processing of Signals

    Hakimjon Zaynidinov, Sayfiddin Bakhromov, Azimov Bunyod +1

    ArticleImage and Signal Denoising MethodsAdvances in Science Technology and Engineering Systems Journal202012 citations
    ABI

  10. Lacol Interpolation Bicubic Spline Method in Digital Processing of Geophysical Signals

    Hakimjon Zaynidinov, Sayfiddin Bahromov, Bunyodbek Azimov +1

    ArticleGeophysics and Gravity MeasurementsAdvances in Science Technology and Engineering Systems Journal20218 citations
    ABI

  11. Оптимальные квадратурные формулы в пространстве W2(m,m−1) периодических функций

    A.R. Hayotov, Umedjon Khayriev

    ArticleMathematical Approximation and IntegrationВестник КРАУНЦ Физико-математические науки20227 citations
    ABI

  12. The numerical solution of a Fredholm integral equations of the second kind by the weighted optimal quadrature formula

    A.R. Hayotov, Samandar Babaev

    ArticleElectromagnetic Scattering and AnalysisResults in Applied Mathematics20247 citations
    ABI

  13. An optimal quadrature formula for approximating Fourier integrals in a Hilbert space

    A.R. Hayotov, Umedjon Khayriev

    ArticleMathematical functions and polynomialsAIP conference proceedings20243 citations
    ABI

  14. An optimal quadrature formula in the space W~2(2,1) of periodic complex-valued functions

    Umedjon Khayriev, Mohinur Usmonova, Gavhar Turdieva

    ArticleMathematical functions and polynomialsAIP conference proceedings20242 citations
    ABI

  15. The numerical solution of an Abel integral equation by the optimal quadrature formula

    A.R. Hayotov, Samandar Babaev, Bobomurod Boytillayev

    ArticleFractional Differential Equations SolutionsResults in Applied Mathematics20251 citations
    ABI

  16. The numerical solution of a Fredholm integral equation of the second kind using the Galerkin method based on optimal interpolation

    Samandar Babaev, A.R. Hayotov, Asliddin Boltaev +2

    ArticleFractional Differential Equations SolutionsResults in Applied Mathematics20250 citations
    ABI

  17. Quadrature formulas for computing Riemann-Liouville fractional integrals

    Tulkin Mamatov, Zayniddin Mamatov, Khusayn Gaffarov +1

    ArticleFractional Differential Equations SolutionsAIP conference proceedings20250 citations
    ABI