Uniform approximations to finite Hilbert transform and its derivative.

DOI10.1016/j.cam.2003.08.059zbMath1055.65144OpenAlexW2135238137MaRDI QIDQ1427229

Takemitsu Hasegawa

Publication date: 14 March 2004

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2003.08.059

zbMATH Keywords

convergencenumerical exampleserror analysisCauchy principal value integralsquadrature rulesfinite Hilbert transformHadamard finite part integral

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Numerical methods for integral transforms (65R10) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

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