Convergence Speed for Fekete Points on Uniformly Polynomially Cuspidal Sets

2024/08/06 by Hyunsoo Ahn, Ngoc Cuong Nguyen, Ahn, Hyunsoo +1
Mathematics · #Analytic and geometric function theory #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #Meromorphic and Entire Functions #advanced mathematical theories

paper · doi:10.48550/arxiv.2408.03053

openalex publication_date 2024/08/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We obtain the convergence speed for Fekete points on uniformly polynomially cuspidal compact sets introduced by Pawlucki and Pleśniak. This is done by showing that these sets are (\mathscrC^α, \mathscrC^α')-regular in the sense of Dinh, Ma and Nguyen.

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