Abstract:We discuss approximation of extremal functions by polynomials in the weighted Bergman spaces A p α where −1 < α < 0 and −1 < α < p − 2. We obtain bounds on how close the approximation is to the true extremal function in the A p α and uniform norms. We also discuss several results on the relation between the Bergman modulus of continuity of a function and how quickly its best polynomial approximants converge to it.
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.