Article ID Journal Published Year Pages File Type
4642921 Journal of Computational and Applied Mathematics 2007 10 Pages PDF
Abstract

As is well known, the n  -point Szegö quadrature formula integrates correctly any Laurent polynomial in the subspace span{1/zn-1,…,1/z,1,z,…,zn-1}1/zn-1,…,1/z,1,z,…,zn-1}. In this paper we enlarge this subspace. We prove that a set of 2n2n linearly independent Laurent polynomials are integrated correctly. The obtained result is used for the construction of Szegö quadrature formulas. Illustrative examples are given.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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