Name
Title | ||
|---|---|---|
An application of Szego polynomials to the computation of certain weighted integrals on the real line |
Abstract | ||
|---|---|---|
In this paper, a new approach in the estimation of weighted integrals of periodic functions on unbounded intervals of the
real line is presented by considering an associated weight function on the unit circle and making use of both Szegő and interpolatory
type quadrature formulas. Upper bounds for the estimation of the error are considered along with some examples and applications
related to the Rogers-Szegő polynomials, the evaluation of the Weierstrass operator, the Poisson kernel and certain strong
Stieltjes weight functions. Several numerical experiments are finally carried out. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1007/s11075-009-9273-4 | Numerical Algorithms |
Keywords | Field | DocType |
Gaussian quadrature formulas,Szegő polynomials,Szegő quadrature formulas,Interpolatory type quadrature formulas,Error bounds | Gauss–Kronrod quadrature formula,Mathematical optimization,Weight function,Mathematical analysis,Numerical integration,Tanh-sinh quadrature,Clenshaw–Curtis quadrature,Unit circle,Gauss–Jacobi quadrature,Gaussian quadrature,Mathematics | Journal |
Volume | Issue | ISSN |
52 | 3 | 1017-1398 |
Citations | PageRank | References |
1 | 0.35 | 6 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Ruymán Cruz-Barroso | 1 | 25 | 4.75 |
| Pablo GonzáLez-Vera | 2 | 100 | 17.26 |
| F. Perdomo-Pío | 3 | 7 | 1.02 |