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Approximation of the Hilbert Transform on the real semiaxis using Laguerre zeros |
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| Authors: | M. C. De Bonis B. Della Vecchia G. Mastroianni |
| Abstract: | The authors propose two new algorithms for the computation of Cauchy principal value integrals on the real semiaxis. The proposed quadrature rules use zeros of Laguerre polynomials. Theoretical error estimates are proved and some numerical examples are showed. |
| Keywords: | Hilbert Transform Orthonormal polynomials Gaussian quadrature rules Product quadrature rules |
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