In this paper, computation of the so-called Szegö quadrature formulas is considered for some special weight functions on the unit circle. The case of the Lebesgue measure is more deeply analyzed. Illustrative numerical examples are also given.
Quadrature formulas associated with Rogers–Szegő polynomials
✍ Scribed by Ruymán Cruz-Barroso; Pablo González-Vera; F. Perdomo-Pío
- Book ID
- 104008422
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 837 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0898-1221
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✦ Synopsis
This paper is concerned with the estimation of integrals of 2π -periodic functions with respect to the Hermite weight function by passing to the unit circle of the complex plane and considering Szegő and interpolatory-type quadrature formulas with respect now to the Rogers-Szegő weight function. Several numerical experiments are given along with estimations of the error.
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