Two new formulas for the numerical evaluation of the Hilbert transform

DOI10.1007/BF01935644zbMath0812.65132MaRDI QIDQ1338531

Biancamaria Della Vecchia

Publication date: 18 May 1995

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

algorithmsnumerical examplesCauchy principal value integralsGauss-Jacobi type quadrature rulerational Bernstein-type operatorsemi-infinite Hilbert transforms

Mathematics Subject Classification ID

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

Related Items (2)

Change of variable formulas for regularizing slowly decaying and oscillatory Cauchy and Hilbert transforms ⋮ Numerical evaluation of Hilbert transforms for oscillatory functions: A convergence accelerator approach

Cites Work

• Saturation for Bernstein type rational functions
• Quadrature formulae on half-infinite intervals
• Computing the Hilbert transform of a Jacobi weight function
• On the convergence of the Gauss quadrature rules for Cauchy principal value integrals
• A note on a Bernstein-type operator of Bleimann, Butzer, and Hahn
• Lipschitz constants for the Bernstein polynomials of a Lipschitz continuous function
• The diffusion of load from a stiffener into an infinite elastic sheet
• Rates of Convergence of Gaussian Quadrature for Singular Integrands
• A Note on Quadrature Formulae for Cauchy Principal Value Integrals
• The Effect of a Stringer on the Stress in a Cracked Sheet
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