Seminarium i Matematisk modellering och analys - Bergur Snorrason

The seminars in Mathematical Modeling and Analysis are aimed at researchers, employees, and students.

This week's seminar is given by Bergur Snorrason, University of Iceland.

Title: A weighted Bernstein-Walsh-Siciak theorem with polynomials associated to convex sets

Abstract: We generalize the Bernstein-Walsh-Siciak theorem on polynomial approximation to the case where the standard polynomial ring is replaced by a subring consisting of all polynomials with exponents restricted to sets $mS$, where $S$ is a compact convex subset of $\mathbb{R}^n_+$ with $0 \in S$ and $m = 0, 1, 2, 3, ...,$ and uniform estimates of error in the approximation are replaced by weighted uniform estimates with respect to an addmissible weight function.

Contact Antti Perälä to receive the Zoom link.