Bernstein's problem on weighted polynomial approximation

Details Bernstein's problem on weighted polynomial approximation Bernstein's problem on weighted polynomial approximation

2011-10-12

arxiv.org/abs/1110.2540v2

Mathematics

Complex Variables

Scientific paper

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 $\mu$ on the real line we give a criterion for density of polynomials
in $L^p(\mu)$.

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