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 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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 },
     publisher = {mathdoc},
     volume = {_N_S_33},
     number = {47},
     year = {1983},
     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/