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Works cited by this work

35 works

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

  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. 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

  4. 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

  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 interpolation formulas with derivative in the space L(m)2(0,1)

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

    ArticleDifferential Equations and Boundary ProblemsFilomat201922 citations
    ABI

  8. 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

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

    D.M. Akhmedov, Kholmat Shadimetov

    ArticleElectromagnetic Scattering and AnalysisAIP conference proceedings202115 citations
    ABI

  10. Untitled

    Other11 citations
    ABI

  11. Composite optimal formulas for approximate integration of weight integrals

    Kholmat Shadimetov, Bahtiyor Daliyev

    ArticleMathematical functions and polynomialsAIP conference proceedings202111 citations
    ABI

  12. Optimal quadrature formulas with derivatives in a periodic space

    Kholmat Shadimetov, Нилуфар Хусеновна Маматова

    ArticleMathematical functions and polynomialsAIP conference proceedings20217 citations
    ABI

  13. Abel Integral Equations: Analysis and Applications

    Rudolf Gorenflo, Rudolf Gorenflo, Sergio Vessella

    Book19915 citations
    ABI

  14. On a construction method of optimal difference formulas

    Kholmat Shadimetov, Ravshan Mirzakabilov

    ArticleDifferential Equations and Boundary ProblemsAIP conference proceedings20215 citations
    ABI

  15. Untitled

    Other5 citations
    ABI

  16. Approximate solution of Abel integral equation

    Li Huang, Yong Huang, Xian‐Fang Li

    Article20084 citations
    ABI

  17. Computing integral transforms and solving integral equations using Chebyshev polynomial approximations

    Robert Piessens

    Article20004 citations
    ABI

  18. 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

  19. Numerical solution of Abel’s integral equation by using Legendre wavelets

    Sohrab Ali Yousefi

    Article20054 citations
    ABI

  20. Untitled

    Other3 citations
    ABI

  21. Untitled

    Other3 citations
    ABI

  22. Analytical-approximate solution of Abel integral equations

    Mohammad Yaghobifar, Nik Mohd Asri Nik Long, Zainidin K. Eshkuratov

    Article20113 citations
    ABI

  23. A method of construction of weight optimal quadrature formulas with derivatives in the Sobolev space

    Kh. M. Shadimetov

    Article20183 citations
    ABI

  24. Solving Abel integral equations of first kind via fractional calculus

    Salman Jahanshahi, Esmail Babolian, Delfim F.M. Torres +1

    Article20142 citations
    ABI

  25. 4 SOLVING ABEL INTEGRAL EQUATIONS OF FIRST KIND VIA FRACTIONAL CALCULUS

    S. Jahanshahi, E. Babolian, D. F. M. Torres +1

    Article20162 citations
    ABI