A method to evaluate the Hilbert transform on (\(0, +\infty \))
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Publication:628936
DOI10.1016/j.amc.2010.12.045zbMath1209.65139OpenAlexW2049336460MaRDI QIDQ628936
Publication date: 8 March 2011
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2010.12.045
orthogonal polynomialsnumerical examplesHilbert transformLagrange interpolationerror estimateLaguerre polynomialsapproximation by polynomialstruncated Gaussian rules
Related Items (6)
Approximation of Hilbert and Hadamard transforms on \((0,+\infty)\) ⋮ A new quadrature scheme based on an extended Lagrange interpolation process ⋮ Numerical computation of hypersingular integrals on the real semiaxis ⋮ On the simultaneous approximation of a Hilbert transform and its derivatives on the real semiaxis ⋮ Limits of calculating the finite Hilbert transform from discrete samples ⋮ Error bounds for a Gauss-type quadrature rule to evaluate hypersingular integrals
Uses Software
Cites Work
- Extended Lagrange interpolation in weighted uniform norm
- Approximation of the Hilbert transform on the real semiaxis using Laguerre zeros
- Numerical approximation of weakly singular integrals on the half line
- Orthonormal polynomials with generalized Freud-type weights.
- Interlacing properties of the zeros of the orthogonal polynomials and approximation of the Hilbert transform
- Orthogonal polynomials for exponential weights \(x^{2\rho} e^{-2Q(x)}\) on \([0,d)\). II.
- A class of orthogonal polynomials
- Approximation of the Hilbert Transform on the Real Line Using Freud Weights
- A Nyström Method for Solving a Boundary Value Problem on [0, ∞)
- Numerical construction of the generalized Hermite polynomials
- Some numerical methods for second-kind Fredholm integral equations on the real semiaxis
- Half-Range Generalized Hermite Polynomials and the Related Gaussian Quadratures
- Truncated Quadrature Rules Over $(0,\infty)$ and Nyström-Type Methods
- Approximation of the Hilbert Transform on the real line using Hermite zeros
- Lagrange interpolation at Laguerre zeros in some weighted uniform spaces
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