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Ish: The numerical solution of an Abel integral equation by the optimal quadrature formula

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Optimal formulas for the approximate-analytical solution of the general Abel integral equation in the Sobolev space
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"Optimal quadrature formulas for approximate solution of the rst kind singular integral equation with Cauchy kernel"
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Selected Works of S.L. Sobolev
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An Optimal Quadrature Formula for Numerical Integration of the Right Riemann–Liouville Fractional Integral
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Optimal Quadrature Formula for Numerical Integration of Fractional Integrals in a Hilbert Space
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Construction of an optimal quadrature formula for the approximation of fractional integrals
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Integral representations of remainders
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The numerical solution of a Fredholm integral equations of the second kind by the weighted optimal quadrature formula
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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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Numerical Approaches to Fractional Integrals and Derivatives: A Review
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The Numerical Solution of Integral Equations of the Second Kind
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Numerical approaches to fractional calculus and fractional ordinary differential equation
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Numerical Algorithm for Fractional Calculus Based on Chebyshev Polynomial Approximation
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Abel type integral equations in stereology: I. General discussion
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On Integrable Solutions of Abel's Integral Equation
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