Characterizing curves satisfying the Gauss-Christoffel theorem

Authors:
E. Berriochoa;A. Cachafeiro
Affiliations:
Departamento de Matemática Aplicada I, Facultad de Ciencias Ourense, Universidad de Vigo, 32004 Ourense, Spain;Departamento de Matemática Aplicada I, E.T.S. Ingenieros Industriales, Universidad de Vigo, 36310 Vigo, Spain
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

Citing 2
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Gaussian quadrature formulae on the unit circle

Journal of Computational and Applied Mathematics - Special issue: Proceedings of the 9th International Congress on computational and applied mathematics
Nodal systems with maximal domain of exactness for Gaussian quadrature formulas

Journal of Computational and Applied Mathematics

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Abstract

In this paper we obtain the reciprocal of the classical Gauss theorem for quadrature formulas. Indeed we characterize the support of the measures having quadrature formulas with the exactness given in the Gauss theorem.