Geodesic
An Error Estimate for Gauss-Jacobi Quadrature Formula with the Hermite Weight W(x)=exp(-x2)
Publications de l'Institut Mathématique, _N_S_33 (1983) no. 47, p. 17 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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The purpose of this paper is to give an estimate of the error in approximating the integral $\int\limits_{-\infty}^\infty f(x)\exp(-x^2)dx$ by the Gauss-Jacobi quadrature formula $Q_n(w;f)$, assuming that $f$ is an entire function satisfying a certain growth condition which depends on the Hermite weight function $w(x)= \exp(-x^2)$. 
@article{PIM_1983_N_S_33_47_a1,
     author = {Radwan Al-Jarrah},
     title = {An {Error} {Estimate} for {Gauss-Jacobi} {Quadrature} {Formula} with the {Hermite} {Weight} {W(x)=exp(-x2)}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {17 },
     year = {1983},
     volume = {_N_S_33},
     number = {47},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1983_N_S_33_47_a1/}
}
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Radwan Al-Jarrah. An Error Estimate for Gauss-Jacobi Quadrature Formula with the Hermite Weight W(x)=exp(-x2). Publications de l'Institut Mathématique, _N_S_33 (1983) no. 47, p. 17 . http://geodesic.mathdoc.fr/item/PIM_1983_N_S_33_47_a1/