Approximating the finite Hilbert transform via trapezoid type inequalities

DOI10.1016/S0898-1221(02)00104-9zbMath1003.65147OpenAlexW2050776033MaRDI QIDQ1609069

N. M. Dragomir, Peter M. Farrell, Sever Silvestru Dragomir

Publication date: 15 August 2002

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(02)00104-9

zbMATH Keywords

error boundsapproximationsfinite Hilbert transform

Mathematics Subject Classification ID

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

Related Items

Approximating the finite Hilbert transform via a companion of Ostrowski's inequality for function of bounded variation and applications ⋮ 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 ⋮ A quadrature rule for the finite Hilbert transform via trapezoid type 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

• An application of Hayashi's inequality for differentiable functions
• On Simpson's inequality and applications
• A note on Hilbert’s operator
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