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arXiv · 1407.2644

Quadrature rules for $L^1$-weighted norms of orthogonal polynomials

Luciano Abadias·Pedro J. Miana·Natalia Romero
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Abstract

In this paper we obtain $L^1$-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.

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Luciano Abadias, Pedro J. Miana, Natalia Romero. 2014-07-09. Quadrature rules for $L^1$-weighted norms of orthogonal polynomials. https://arxiv.org/abs/1407.2644

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