Name
Abstract | ||
|---|---|---|
The author proposes a method to approximate the Hilbert transform on the real positive semiaxis by a suitable Lagrange interpolating polynomial. The method employs truncated Gaussian rules and uses the interlacing properties of the zeros of generalized Laguerre polynomials. The error estimate in a weighted uniform norm is proved and some numerical tests show the efficacy of the proposed procedure. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.amc.2010.12.045 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Hilbert transform,Lagrange Interpolation,Orthogonal Polynomials,Approximation by polynomials | Lagrange polynomial,Uniform norm,Mathematical optimization,Interlacing,Laguerre polynomials,Orthogonal polynomials,Mathematical analysis,Hilbert transform,Numerical analysis,Hilbert spectral analysis,Mathematics | Journal |
Volume | Issue | ISSN |
217 | 12 | 0096-3003 |
Citations | PageRank | References |
1 | 0.41 | 6 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Donatella Occorsio | 1 | 9 | 4.00 |