On the evaluation of Hilbert transforms by means of a particular class of Turán quadrature rules

DOI10.1007/BF02198294zbMath0830.65128OpenAlexW2008293481MaRDI QIDQ1895978

Elisabetta Santi, Laura Gori

Publication date: 13 August 1995

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02198294

zbMATH Keywords

numerical examplesCauchy principle value integralsHilbert transformsgeneralized Gegenbauer weightsTurán quadrature rules

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Numerical methods for integral transforms (65R10)

Related Items (5)

Quadrature rules with multiple nodes for evaluating integrals with strong singularities ⋮ On uniform approximations to hypersingular finite-part integrals ⋮ Quadratures with multiple nodes, power orthogonality, and moment-preserving spline approximation ⋮ On weight functions which admit explicit Gauss-Turán quadrature formulas ⋮ Numerical evaluation of Hilbert transforms for oscillatory functions: A convergence accelerator approach

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