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Works cited by this work

21 works

Work: Optimal methods for approximate calculation of the fractional Riemann-Liouville integral in Sobolev space

  1. 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
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  2. 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
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  3. Optimal formulas for the approximate-analytical solution of the general Abel integral equation in the Sobolev space

    Kholmat Shadimetov, Bakhtiyor S. Daliev

    ArticleMathematical functions and polynomialsResults in Applied Mathematics202223 citations
    ABI

  4. 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

  5. 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

  6. Optimal Quadrature Formulas and Interpolation Splines Minimizing the Semi-Norm in the Hilbert Space $$K_{2}(P_{2})$$

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

    ChapterAdvanced Numerical Analysis Techniques201410 citations
    ABI

  7. Abel Integral Equations: Analysis and Applications

    Rudolf Gorenflo, Rudolf Gorenflo, Sergio Vessella

    Book19915 citations
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  8. Approximate solution of Abel integral equation

    Li Huang, Yong Huang, Xian‐Fang Li

    Article20084 citations
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  9. Computing integral transforms and solving integral equations using Chebyshev polynomial approximations

    Robert Piessens

    Article20004 citations
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  10. 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
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  11. Numerical solution of Abel’s integral equation by using Legendre wavelets

    Sohrab Ali Yousefi

    Article20054 citations
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  12. Composite quadrature formulas of Hermite type

    Kh. M. Shadimetov, F.A. Nuraliev

    Article20193 citations
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  13. Solving Abel integral equations of first kind via fractional calculus

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

    Article20142 citations
    ABI

  14. 4 SOLVING ABEL INTEGRAL EQUATIONS OF FIRST KIND VIA FRACTIONAL CALCULUS

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

    Article20162 citations
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  15. Numerical Solution of Abel′s Integral Equations using Hermite Wavelet

    R. A. Mundewadi, S. Kumbinarasaiah

    Article20192 citations
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  16. Solutions of the Generalized Abel’s Integral Equations of the Second Kind with Variable Coefficients

    Chenkuan Li, Hunter Plowman

    Article20192 citations
    ABI

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    Other1 citations
    ABI

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    Other1 citations
    ABI