Name
Abstract | ||
|---|---|---|
We consider the convergence of Gauss-type quadrature formulas for the integral R1 0 f(x)!(x)dx ,w here! is a weight function on the half line (0;1). The n-point Gauss-type quadrature formulas are constructed such that they are exact in the set of Laurent polynomials p;q 1 =f Pq 1 k= pakx kg, where p = p(n) is a sequence of integers satisfying 0 p(n) 2n and q = q(n )=2 n p(n). It is proved that under certain Carleman-type conditions for the weight and when p(n )o rq(n )g oes to1, then convergence holds for all functions f for which f! is integrable on (0;1). Some numerical experiments compare the convergence of these quadrature formulas with the convergence of the classical Gauss quadrature formulas for the half line. |
Year | DOI | Venue |
|---|---|---|
2000 | 10.1090/S0025-5718-99-01107-2 | Mathematics of Computation |
DocType | Volume | Issue |
Journal | 69 | 230 |
ISSN | Citations | PageRank |
0025-5718 | 6 | 1.35 |
References | Authors | |
0 | 4 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Adhemar Bultheel | 1 | 217 | 34.80 |
| C. Díaz-Mendoza | 2 | 20 | 4.56 |
| P. González-Vera | 3 | 46 | 9.45 |
| R. Orive | 4 | 16 | 5.63 |