Bernstein-Walsh theory associated to convex bodies and applications to multivariate approximation theory

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dc.contributor.authorBos, Len
dc.contributor.authorLevenberg, Norman
dc.date.accessioned2025-02-20T16:04:05Z
dc.date.available2025-02-20T16:04:05Z
dc.date.issued2017-01-19
dc.description.abstractWe prove a version of the Bernstein-Walsh theorem on uniform polynomial approximation of holomorphic functions on compact sets in several complex variables. Here we consider subclasses of the full polynomial space associated to a convex body P. As a consequence, we validate and clarify some observations of Trefethen in multivariate approximation theory.
dc.identifier.citationBos, Len, and Levenberg, Norman. "Bernstein-Walsh theory associated to convex bodies and applications to multivariate approximation theory." Computational Methods in Function Theory, vol. 18, no. 2, pp. 361-388, 2017-01-19.
dc.identifier.urihttps://hdl.handle.net/2022/33166
dc.language.isoen
dc.relation.isversionofhttps://arxiv.org/abs/1701.05613v1
dc.relation.journalComputational Methods in Function Theory
dc.rightsThis work may be protected by copyright unless otherwise stated.
dc.titleBernstein-Walsh theory associated to convex bodies and applications to multivariate approximation theory

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