Title
Interpolatory quadrature formulas on the unit circle for Chebyshev weight functions
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. Daruis1274.90
Pablo GonzáLez-Vera210017.26