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Works cited by this work

23 works

Work: An Algorithm for Construction of Optimal Integration Formulas in Hilbert Spaces and Its Realization

  1. Untitled

    Other72 citations
    ABI

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

    Kholmat Shadimetov, A.R. Hayotov

    ArticleMathematical functions and polynomialsCALCOLO201338 citations
    ABI

  3. On optimal quadrature formulae

    Flavia Lanzara

    Article200036 citations
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  4. 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

  5. On the weights of Sard's quadrature formulas

    Peter Köhler

    Article198831 citations
    ABI

  6. Best Approximate Integration Formulas

    Leroy F. Meyers, Arthur Sard

    Article195029 citations
    ABI

  7. 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

  8. 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

  9. 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
    ABI

  10. On semicardinal quadrature formulae

    I. J. Schoenberg, S. D. Silliman

    Article197423 citations
    ABI

  11. The Equations of Mathematical Physics

    E. T. Whittaker, G. N. Watson

    Chapter199616 citations
    ABI

  12. The discrete analogue of a differential operator and its applications

    A.R. Hayotov

    ArticleMathematical functions and polynomialsLithuanian Mathematical Journal201413 citations
    ABI

  13. The Theory of Splines and their Applications

    H. O. K, J. H. Ahlberg, E. N. Nilson +1

    Article196912 citations
    ABI

  14. Calculus of Finite Differences

    W. G., А. О. Гелъфонд

    Article197311 citations
    ABI

  15. Untitled

    Other11 citations
    ABI

  16. OPTIMAL QUADRATURE FORMULAS FOR FOURIER COEFFICIENTS IN &lt;i&gt;W&lt;/i&gt;&lt;sub&gt;2&lt;/sub&gt;&lt;sup&gt;(&lt;i&gt;m&lt;/i&gt;,&lt;i&gt;m&lt;/i&gt;-1)&lt;/sup&gt; 2 SPACE

    Nurali D. Boltaev, A.R. Hayotov, Kholmat Shadimetov

    Article201710 citations
    ABI

  17. Numerical Methods for Scientists and Engineers

    T H O'Beirne

    Article19627 citations
    ABI

  18. On the Roots of Euler Polynomials

    С. Л. Соболев

    Chapter20064 citations
    ABI

  19. Computing Integrals of Highly Oscillatory Special Functions Using Complex Integration Methods and Gaussian Quadratures

    Gradimir V. Milovanović

    Article20173 citations
    ABI

  20. On numerical computation of integrals with integrands of the form f(x)sin(w/xr) on [0, 1]

    A. Ihsan Hasçelik

    Article20082 citations
    ABI

  21. Untitled

    Other1 citations
    ABI

  22. Untitled

    Other1 citations
    ABI

  23. Untitled

    Other1 citations
    ABI