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Mathematical functions and polynomials

Работ: 242

  1. Optimal quadrature formulas in the sense of Sard in $$W_2^{(m,m-1)}$$ space

    Kholmat Shadimetov, A.R. Hayotov

    СтатьяMathematical functions and polynomialsCALCOLO2013Цитирований: 38
    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

    СтатьяMathematical functions and polynomialsNumerical Algorithms2016Цитирований: 35
    ABI

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

    Samandar Babaev, A.R. Hayotov

    СтатьяMathematical functions and polynomialsCALCOLO2019Цитирований: 34
    ABI

  4. 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

  5. Some decomposition formulas associated with the Lauricella function <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:msubsup><mml:mrow><mml:mi>F</mml:mi></mml:mrow><mml:mrow><mml:mi>A</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mi>r</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math> and other multiple hypergeometric functions

    Anvar Hasanov, H. M. Srivastava

    СтатьяMathematical functions and polynomialsApplied Mathematics Letters2005Цитирований: 29
    ABI

  6. On an optimal quadrature formula in the sense of Sard

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

    СтатьяMathematical Inequalities and ApplicationsNumerical Algorithms2010Цитирований: 29
    ABI

  7. Application of optimal quadrature formulas for reconstruction of CT images

    A.R. Hayotov, Soomin Jeon, Kholmat Shadimetov

    СтатьяMathematical functions and polynomialsJournal of Computational and Applied Mathematics2020Цитирований: 28
    ABI

  8. Construction of an Optimal Quadrature Formula in the Hilbert Space of Periodic Functions

    A.R. Hayotov, Umedjon Khayriev

    СтатьяMathematical functions and polynomialsLobachevskii Journal of Mathematics2022Цитирований: 28
    ABI

  9. 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

    СтатьяNumerical methods in inverse problemsJournal of Computational and Applied Mathematics2020Цитирований: 27
    ABI

  10. Optimal quadratures in the sense of Sard in a Hilbert space

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

    СтатьяMathematical functions and polynomialsApplied Mathematics and Computation2015Цитирований: 27
    ABI

  11. 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

  12. 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

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

    Kholmat Shadimetov, A.R. Hayotov, Bakhromjon Bozarov

    СтатьяMathematical functions and polynomialsJournal of Inequalities and Applications2022Цитирований: 23
    ABI

  14. Optimal formulas for the approximate-analytical solution of the general Abel integral equation in the Sobolev space

    Kholmat Shadimetov, Bakhtiyor S. Daliev

    СтатьяMathematical functions and polynomialsResults in Applied Mathematics2022Цитирований: 23
    ABI

  15. Decomposition formulas associated with the Lauricella multivariable hypergeometric functions

    Anvar Hasanov, H. M. Srivastava

    СтатьяMathematical functions and polynomialsComputers & Mathematics with Applications2007Цитирований: 22
    ABI

  16. 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

  17. <b>Fundamental solutions of generalized bi-axially symmetric Helmholtz equation</b>

    Anvar Hasanov

    СтатьяNonlinear Waves and SolitonsComplex Variables and Elliptic Equations2007Цитирований: 21
    ABI

  18. Optimal quadrature formula in space

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

    СтатьяAerospace Engineering and Control SystemsApplied Numerical Mathematics2012Цитирований: 20
    ABI

  19. "Optimal quadrature formulas for approximate solution of the rst kind singular integral equation with Cauchy kernel"

    ", D.M. Akhmedov, Kholmat Shadimetov

    СтатьяIterative Methods for Nonlinear EquationsStudia Universitatis Babes-Bolyai Matematica2022Цитирований: 19
    ABI

  20. 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

  21. 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

  22. An Optimal Quadrature Formula for Numerical Integration of the Right Riemann–Liouville Fractional Integral

    A.R. Hayotov, Samandar Babaev

    СтатьяFractional Differential Equations SolutionsLobachevskii Journal of Mathematics2023Цитирований: 16
    ABI

  23. Construction of Interpolation Splines Minimizing the Semi-norm in the Space K2(Pm)

    A.R. Hayotov

    СтатьяAdvanced Numerical Analysis TechniquesJournal of Siberian Federal University Mathematics & Physics2018Цитирований: 16
    ABI

  24. Optimal quadrature formulas with derivative for Hadamard type singular integrals

    D.M. Akhmedov, Kholmat Shadimetov

    СтатьяElectromagnetic Scattering and AnalysisAIP conference proceedings2021Цитирований: 15
    ABI

  25. Construction of Optimal Quadrature Formulas Exact for Exponentional-trigonometric Functions by Sobolev’s Method

    A.K. Boltaev, A.R. Hayotov, Kholmat Shadimetov

    СтатьяMathematical functions and polynomialsActa Mathematica Sinica English Series2021Цитирований: 14
    ABI