The Bernstein-Walsh-Siciak Theorem for analytic hypersurfaces

TitleThe Bernstein-Walsh-Siciak Theorem for analytic hypersurfaces
Publication TypeJournal Article
Year of Publication2021
AuthorsDenkowska, A, Denkowski, MP
JournalDolomites Research Notes on Approximation
Volume14
Issue3
Pagination53-58
Date Published12/2021
PublisherPadova University Press
Place PublishedPadova, IT
ISSN Number20356803
Abstract

As a first step towards a general set-theoretic counterpart of the remarkable Bernstein-Walsh-Siciak Theorem concerning the rapidity of polynomial approximation of a holomorphic function on polynomially convex compact sets in Cn, we prove a version of this theorem for analytic hypersurfaces.

URLhttps://drna.padovauniversitypress.it/2021/3/6
DOI10.14658/pupj-drna-2021-3-6