English

Convergence Speed for Fekete Points on Uniformly Polynomially Cuspidal Sets

Complex Variables 2026-04-03 v2 Differential Geometry

Abstract

We obtain the convergence speed for Fekete points on uniformly polynomially cuspidal compact sets introduced by Pawlucki and Ple\'sniak. This is done by showing that these sets are (Cα,Cα)(\mathscr{C}^{\alpha}, \mathscr{C}^{\alpha'})-regular in the sense of Dinh, Ma and Nguyen.

Cite

@article{arxiv.2408.03053,
  title  = {Convergence Speed for Fekete Points on Uniformly Polynomially Cuspidal Sets},
  author = {Hyunsoo Ahn and Ngoc Cuong Nguyen},
  journal= {arXiv preprint arXiv:2408.03053},
  year   = {2026}
}

Comments

10 pages

R2 v1 2026-06-28T18:05:12.609Z