Convergence of Gauss type product formulas for the evaluation of two-dimensional Cauchy principal value integrals |
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Authors: | Giuliana Criscuolo Giuseppe Mastroianni |
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Affiliation: | (1) Istituto per Applicazioni della Matematica, C.N.R., Viale A. Gramsci, 5, 80122 Napoli, Italy;(2) Dipartimento di Matematica e Applicazioni, Università di Napoli, Via Mezzocannone, 8, 80134 Napoli, Italy |
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Abstract: | The authors consider product rules of Gauss type for the numerical approximation of certain two-dimensional Cauchy principal value integrals with respect to generalized smooth Jacobi weight functions.Convergence results for these rules are given, and some asymptotic estimates of the remainder are established.Work sponsored by Italian Research Council and by the Ministero della Pubblica Istruzione of Italy. |
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Keywords: | 65D32 41A17 |
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