Name
Abstract | ||
|---|---|---|
Integration of periodic functions on the real line with an even rational weight function is considered. A transformation method of such integrals to the integrals on (-1, 1) with respect to the Szegö-Bernstein weights and a construction of the corresponding Gaussian quadrature formulas are given. The recursion coefficients in the three-term recurrence relation for the corresponding orthogonal polynomials were obtained in an analytic form. Numerical examples are also included. |
Year | DOI | Venue |
|---|---|---|
2002 | 10.1016/S0096-3003(01)00080-7 | Applied Mathematics and Computation |
Keywords | DocType | Volume |
Gauss-type quadratures,Error term,Convergence,Orthogonal polynomials,Nonnegative measure,Weights,Chebyshev weight,Szegő–Bernstein weights,Nodes,Modified moments,Chebyshev polynomials | Journal | 128 |
Issue | ISSN | Citations |
2-3 | Applied Mathematics and Computation | 3 |
PageRank | References | Authors |
0.56 | 1 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Giuseppe Mastroianni | 1 | 35 | 10.38 |
| Gradimir V. Milovanović | 2 | 45 | 11.62 |