Abstract
From the numerous systems of points and associated monic polynomials to which discrepancy theorems can be applied we choose Fekete points for compact sets E of ℂ. It is known that the counting measures for Fekete point sets converge to the equilibrium distribution of E. Furthermore, if E is a Jordan curve or arc, then this weak*-convergence can be estimated by discrepancy bounds. For analytic Jordan curves Pommerenke [144, 145] has proved sharp asymptotic estimates, which can be found in Section 7.2.KeywordsOrthogonal PolynomialChebyshev PolynomialEquilibrium MeasureDiscrepancy TheoremChebyshev ApproximationThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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