Gauss quadrature for refinable weight functions

Citation
W. Gautschi et al., Gauss quadrature for refinable weight functions, AP COMP HAR, 8(3), 2000, pp. 249-257
Citations number
10
Categorie Soggetti
Mathematics,"Engineering Mathematics
Journal title
APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS
ISSN journal
10635203 → ACNP
Volume
8
Issue
3
Year of publication
2000
Pages
249 - 257
Database
ISI
SICI code
1063-5203(200005)8:3<249:GQFRWF>2.0.ZU;2-7
Abstract
A two-parameter class of refinable functions is considered and Gaussian qua drature rules having these functions as weight functions. A discretization method is described for generating the recursion coefficients of the requir ed orthogonal polynomials. Numerical results are also presented. (C) 2000 A cademic Press.