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Ish: Calculation of Coefficients of the Optimal Quadrature Formulas in the $W_2^{m,m-1}(0,1)$ Space

  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

    MaqolaMathematical functions and polynomialsJournal of Computational and Applied Mathematics201033 iqtibos
    ABI

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

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

    MaqolaMathematical Inequalities and ApplicationsNumerical Algorithms201029 iqtibos
    ABI

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

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

    MaqolaMathematical functions and polynomialsApplied Mathematics and Computation201527 iqtibos
    ABI

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

    A.R. Hayotov

    MaqolaMathematical functions and polynomialsLithuanian Mathematical Journal201413 iqtibos
    ABI

  5. 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

    BobAdvanced Numerical Analysis Techniques201410 iqtibos
    ABI

  6. Optimal quadrature formula in the sense of Sard in K2(P3) space

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

    MaqolaIterative Methods for Nonlinear EquationsPublications de l Institut Mathematique20144 iqtibos
    ABI

  7. Optimal Quadrature Formulas in the Sense of Sard in $W_2^{(m,m-1)}$ Space

    Kh. M. Shadimetov, A.R. Hayotov

    PreprintIterative Methods for Nonlinear EquationsarXiv (Cornell University)20100 iqtibos
    ABI