The numerical evaluation of Cauchy principal value integrals with non-standard weight functions

DOI10.1007/BF02512366zbMath0913.65016MaRDI QIDQ1267018

Publication date: 7 June 1999

Published in: BIT (Search for Journal in Brave)

convergence numerical results test problems quadrature Cauchy principal value integrals Chebyshev points Gauss points weighted Hilbert transform Ditzian-Totik weights

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Numerical quadrature and cubature formulas (65D32)

Related Items (3)

On quadrature for Cauchy principal value integrals of oscillatory functions. ⋮ Uniform approximations to finite Hilbert transform and its derivative. ⋮ Convergence and stability of a new quadrature rule for evaluating Hilbert transform

Cites Work

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Associated generalized Jacobi functions and polynomials
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On Some Orthogonal Polynomial Integrals
The numerical evaluation of principal value integrals
On the Construction of Gaussian Quadrature Rules from Modified Moments

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