Title
Quadrature formulas associated with Rogers-Szegő polynomials
Abstract
This paper is concerned with the estimation of integrals of 2@p-periodic functions with respect to the Hermite weight function by passing to the unit circle of the complex plane and considering Szego and interpolatory-type quadrature formulas with respect now to the Rogers-Szego weight function. Several numerical experiments are given along with estimations of the error.
Year
DOI
Venue
2009
10.1016/j.camwa.2008.10.068
Computers & Mathematics with Applications
Keywords
Field
DocType
numerical experiment,complex plane,hermite weight function,interpolatory-type quadrature formulas,interpolatory-type quadrature formula,error bounds,p-periodic function,rogers-szego weight function,szegő quadrature formulas,unit circle,rogers–szegő polynomials,weight function
Gauss–Kronrod quadrature formula,Mathematical optimization,Mathematical analysis,Tanh-sinh quadrature,Numerical integration,Clenshaw–Curtis quadrature,Quadrature domains,Gauss–Jacobi quadrature,Gaussian quadrature,Mathematics,Gauss–Laguerre quadrature
Journal
Volume
Issue
ISSN
57
2
Computers and Mathematics with Applications
Citations 
PageRank 
References 
6
0.67
5
Authors
3
Name
Order
Citations
PageRank
Ruymán Cruz-Barroso1254.75
Pablo GonzáLez-Vera210017.26
F. Perdomo-Pío371.02