Filtered integration rules for finite weighted Hilbert transforms. II
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Publication:6556652
DOI10.14658/PUPJ-DRNA-2022-3-9zbMATH Open1540.65096MaRDI QIDQ6556652
Woula Themistoclakis, Maria Grazia Russo, Donatella Occorsio
Publication date: 17 June 2024
Published in: Dolomites Research Notes on Approximation (Search for Journal in Brave)
Special integral transforms (Legendre, Hilbert, etc.) (44A15) Numerical quadrature and cubature formulas (65D32)
Cites Work
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- A numerical method for the generalized airfoil equation based on the de la Vallée Poussin interpolation
- Boundedness of the Hilbert transformation in some weighted Besov type spaces
- Limits of calculating the finite Hilbert transform from discrete samples
- Weighted \(L^1\) approximation on \([- 1, 1]\) via discrete de la Vallée Poussin means
- On the filtered polynomial interpolation at Chebyshev nodes
- Filtered integration rules for finite weighted Hilbert transforms
- Mapping properties of some singular operators in Besov type subspaces of \(C(-1,1)\)
- Uniform weighted approximation on the square by polynomial interpolation at Chebyshev nodes
- Remarks on Besov Spaces and Best Polynomial Approximation
- Interpolation Processes
- On the Calculation of the Hilbert Transform From Interpolated Data
- An Automatic Quadrature for Cauchy Principal Value Integrals
- The boundedness of the Cauchy singular integral operator in weighted Besov type spaces with uniform norms
- Some remarks on filtered polynomial interpolation at Chebyshev nodes
Related Items (3)
On solving some Cauchy singular integral equations by de la Vallée Poussin filtered approximation ⋮ 5-th Dolomites Workshop on Constructive Approximation and Applications -- special issue dedicated to Robert Schaback on the occasion of his 75th birthday ⋮ Approximation of the Hilbert transform on the half-line
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