Publications de l'Institut Mathématique, _N_S_33 (1983) no. 47, p. 17
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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/
@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/}
}
TY - JOUR
AU - Radwan Al-Jarrah
TI - An Error Estimate for Gauss-Jacobi Quadrature Formula with the Hermite Weight W(x)=exp(-x2)
JO - Publications de l'Institut Mathématique
PY - 1983
SP - 17
VL - _N_S_33
IS - 47
UR - http://geodesic.mathdoc.fr/item/PIM_1983_N_S_33_47_a1/
LA - en
ID - PIM_1983_N_S_33_47_a1
ER -
%0 Journal Article
%A Radwan Al-Jarrah
%T An Error Estimate for Gauss-Jacobi Quadrature Formula with the Hermite Weight W(x)=exp(-x2)
%J Publications de l'Institut Mathématique
%D 1983
%P 17
%V _N_S_33
%N 47
%U http://geodesic.mathdoc.fr/item/PIM_1983_N_S_33_47_a1/
%G en
%F PIM_1983_N_S_33_47_a1
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 $w(x)= \exp(-x^2)$.
