Abstract | ||
---|---|---|
Summary. In this paper, interpolatory quadrature formulas based upon the roots of unity are studied for certain weight functions.
Positivity of the coefficients in these formulas is deduced along with computable error estimations for analytic integrands.
A comparison is made with Szeg quadrature formulas. Finally, an application to the interval [-1,1] is also carried out.
|
Year | DOI | Venue |
---|---|---|
2002 | 10.1007/s002110100323 | Numerische Mathematik |
Keywords | Field | DocType |
weight function,roots of unity | Gauss–Kronrod quadrature formula,Chebyshev polynomials,Mathematical analysis,Numerical integration,Tanh-sinh quadrature,Clenshaw–Curtis quadrature,Unit circle,Quadrature (mathematics),Gauss–Jacobi quadrature,Mathematics | Journal |
Volume | Issue | ISSN |
90 | 4 | 0029-599X |
Citations | PageRank | References |
6 | 0.77 | 1 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
L. Daruis | 1 | 27 | 4.90 |
Pablo GonzáLez-Vera | 2 | 100 | 17.26 |