PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.) Vol. 33(47), pp. 1722 (1983) 

AN ERROR ESTIMATE FOR GAUSSJACOBI QUADRATURE FORMULA WITH THE HERMITE WEIGHT $w(x)=\exp(x^2)$Radwan AlJarrahDepartment of Mathematical Sciences, University of Petroleum and Minerals, Dhahran, Saudi ArabiaAbstract: 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 GaussJacobi 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 $w(x)= \exp(x^2)$. Full text of the article:
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