A quadrature rule for the finite Hilbert transform via trapezoid type inequalities

DOI10.1007/BF02936075zbMath1058.41023OpenAlexW2083602615MaRDI QIDQ1429333

N. M. Dragomir, G. William Baxter, Sever Silvestru Dragomir, Peter M. Farrell

Publication date: 18 May 2004

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

Full work available at URL: https://doi.org/10.1007/bf02936075

zbMATH Keywords

Cauchy principal value integralfinite Hilbert transformmodified trapezoidal quadrature

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Inequalities for sums, series and integrals (26D15) Approximate quadratures (41A55)

Related Items (6)

Approximating the finite Mellin and Sumudu transforms utilizing wavelet transform ⋮ Inequalities for a generalized finite Hilbert transform of convex functions ⋮ Generalized Finite Hilbert Transform and Some Basic Inequalities ⋮ Inequalities and Approximations for the Finite Hilbert Transform: A Survey of Recent Results ⋮ Approximating the finite Hilbert transform for absolutely continuous mappings and applications in numerical integration ⋮ A note on approximating finite Hilbert transform and quadrature formula

Cites Work

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• Approximating the finite Hilbert transform via trapezoid type inequalities
• A note on Hilbert’s operator

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