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Potential and Discrepancy Estimates for Weighted Extremal Points
Authors:M. Götz  E. B. Saff
Affiliation:Kath. Univ. Eichst?tt mario.goetz@ku-eichstaett.de, Ostenstra?e 26—28 85071 Eichst?tt Germany, DE
Institute for Constructive Mathematics esaff@math.usf.edu, Department of Mathematics University of South Florida Tampa, FL 33620 USA, US
Abstract:
We derive estimates for Green and logarithmic potentials of measures associated with extremal points. These results are applied to obtain discrepancy estimates for weighted Fekete and Tsuji points on quasiconformal arcs or curves. September 21, 1998. Date revised: July 6, 1999. Date accepted: September 22, 1999.
Keywords:. Weighted equilibrium measure   Weighted Fekete points   Discrepancy   Quasiconformal curve. AMS Classification. Primary 31A15   Secondary 30C62.
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