Quadrature rules for $L^1$-weighted norms of orthogonal polynomials
  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. 
Luciano Abadias, Pedro J. Miana and Natalia Romero
math.CA