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Interpolatory product quadratures for Cauchy principal value integrals with Freud weights

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Publication:1805874
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DOI10.1007/s002110050440zbMath0940.65023OpenAlexW2046255673MaRDI QIDQ1805874

Kai Diethelm, Steven B. Damelin

Publication date: 19 July 2000

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002110050440

zbMATH Keywords

numerical examplesCauchy principal value integralsFreud weightsinterpolatory product quadrature formulas


Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)


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An Analytic and Numerical Analysis of Weighted Singular Cauchy Integrals with Exponential Weights on ℝ, Marcinkiewicz-Zygmund inequalities and the numerical approximation of singular integrals for exponential weights: Methods, results and open problems, some new, some old, The Hilbert transform of cubic splines, BOUNDEDNESS AND UNIFORM NUMERICAL APPROXIMATION OF THE WEIGHTED HILBERT TRANSFORM ON THE REAL LINE, Convergence and stability of a new quadrature rule for evaluating Hilbert transform, A note on finite quadrature rules with a kind of Freud weight function, Approximation methods and stability of singular integral equations for Freud exponential weights on the line



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