10.1006/jath.1996.0094

A Note on Weighted Polynomial Approximation with Varying Weights

Abstract

AbstractIt is shown that if weighted polynomialswnPnwith degPn⩽nconverge uniformly on the support of the extremal measure associated withw, then they converge to 0 everywhere else. It is also shown that uniform approximation on the support can always be characterized by a closed subsetZhaving the property that a function can be approximated if and only if it vanishes onZ

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