Bernstein’s Problem on Weighted Polynomial Approximation

@article{Poltoratski2015BernsteinsPO,
title={Bernstein’s Problem on Weighted Polynomial Approximation},
author={Alexei Poltoratski},
journal={arXiv: Complex Variables},
year={2015},
pages={147-171}
}
• A. Poltoratski
• Published 12 October 2011
• Mathematics
• arXiv: Complex Variables
We formulate 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 μ on the real line we give a criterion for density of polynomials in L p (μ).
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