Name
Title | ||
|---|---|---|
On the convergence of multipoint Padé-type approximants and quadrature formulas associated with the unit circle |
Abstract | ||
|---|---|---|
We study the convergence of rational interpolants with prescribed poles on the unit circle to the Herglotz-Riesz transform of a complex measure supported on [−π, π]. As a consequence, quadrature formulas arise which integrate exactly certain rational functions. Estimates of the rate of convergence of these quadrature formulas are also included. |
Year | DOI | Venue |
|---|---|---|
1996 | 10.1007/BF02207699 | Numerical Algorithms |
Keywords | Field | DocType |
multipoint Padé-type approximation,orthogonal rational functions,quadrature formula,41A21,30E05,41A55 | Gauss–Kronrod quadrature formula,Mathematical optimization,Mathematical analysis,Tanh-sinh quadrature,Clenshaw–Curtis quadrature,Unit circle,Rate of convergence,Quadrature (mathematics),Rational function,Gauss–Jacobi quadrature,Mathematics | Journal |
Volume | Issue | ISSN |
13 | 2 | 1017-1398 |
Citations | PageRank | References |
3 | 0.45 | 2 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| A. Bultheel | 1 | 117 | 17.02 |
| P. González-Vera | 2 | 46 | 9.45 |
| E. Hendriksen | 3 | 24 | 5.67 |
| O. Njåstad | 4 | 10 | 1.96 |