Quadrature Rules for L1-Weighted Norms of Orthogonal Polynomials
- Abadias, L. 1
- Miana, P.J. 1
- Romero, N. 2
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1
Universidad de Zaragoza
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2
Universidad de La Rioja
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ISSN: 1660-5446
Ano de publicación: 2016
Volume: 3
Número: 1
Páxinas: 1291-1306
Tipo: Artigo
Outras publicacións en: Mediterranean Journal of Mathematics
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Resumo
In this paper, we obtain L1-weighted norms of classical orthogonal polynomials (Hermite, Laguerre and Jacobi polynomials) in terms of the zeros of these orthogonal polynomials; these expressions are usually known as quadrature rules. In particular, these new formulae are useful to calculate directly some positive defined integrals as several examples show. © 2015 Springer Basel