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Works citing this work

11 works

  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. 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>

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  3. Optimal quadrature formulas for non-periodic functions in Sobolev space and its application to CT image reconstruction

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  4. Optimal quadrature formulas for approximating strongly oscillating integrals in the Hilbert space <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si6.svg" display="inline" id="d1e1958"><mml:msubsup><mml:mrow><mml:mover accent="true"><mml:mrow><mml:mi>W</mml:mi></mml:mrow><mml:mrow><mml:mo>˜</mml:mo></mml:mrow></mml:mover></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:mi>m</mml:mi><mml:mo>−</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:msubsup></mml:math> of periodic functions

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  5. Optimal Quadrature Formulas for Calculating Integrals of Rapidly Oscillating Functions

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  6. An Algorithm for Construction of Optimal Integration Formulas in Hilbert Spaces and Its Realization

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  7. An Optimal Quadrature Formula With Derivative for Weakly Singular Integrals

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  8. Consecutive optimization of the weighted quadrature formulas with derivative

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  9. Solving definite integrals using numerical method

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  10. An Optimal Quadrature Formula with Derivative in the Hilbert Space

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  11. The Optimal Quadrature Formula for the Approximate Calculation of Fourier Coefficients in the Space $$ \widetilde {W_{2} }^{(2,1)}$$ of Periodic Functions

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