Quadrature formulas associated with Rogers-Szegő polynomials

Authors:
Ruymán Cruz-Barroso;Pablo González-Vera;F. Perdomo-Pío
Affiliations:
Department of Computer Science, K.U.Leuven, Celestijnenlaan 200 A, B-3001 Heverlee, Belgium;Department of Mathematical Analysis. La Laguna University. 38271 La Laguna. Tenerife. Canary Islands, Spain;Department of Mathematical Analysis. La Laguna University. 38271 La Laguna. Tenerife. Canary Islands, Spain
Venue:
Computers & Mathematics with Applications
Year:
2009

Citing 6
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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.