Bernstein's problem on weighted polynomial approximation
Complex Variables
2011-11-01 v2
Abstract
We formulate and discuss a necessary and sufficient condition for polynomials to be dense in a space of continuous functions on the real line, with respect to Bernstein's weighted uniform norm. Equivalently, for a positive finite measure on the real line we give a criterion for density of polynomials in .
Cite
@article{arxiv.1110.2540,
title = {Bernstein's problem on weighted polynomial approximation},
author = {Alexei Poltoratski},
journal= {arXiv preprint arXiv:1110.2540},
year = {2011}
}