Rapid polynomial approximation in $L_2$-spaces with Freud weights on the real line

Rui Xie, Marcel de Jeu

The weights $W_{\alpha }(x)=\exp (-|x{|}^{\alpha })$ $(\alpha >1)$ form a subclass of Freud weights on the real line. Primarily from a functional analytic angle, we investigate the subspace of $L_2(\math…