{"title":"Convergence Speed for Fekete Points on Uniformly Polynomially Cuspidal Sets","authors":"Hyunsoo Ahn, Ngoc Cuong Nguyen","doi":"arxiv-2408.03053","DOIUrl":null,"url":null,"abstract":"We obtain the convergence speed for Fekete points on uniformly polynomially\ncuspidal compact sets introduced by Pawlucki and Ple\\'sniak. This is done by\nshowing that these sets are $(\\mathscr{C}^{\\alpha},\n\\mathscr{C}^{\\alpha'})$-regular in the sense of Dinh, Ma and Nguyen.","PeriodicalId":501113,"journal":{"name":"arXiv - MATH - Differential Geometry","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Differential Geometry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.03053","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
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 $(\mathscr{C}^{\alpha},
\mathscr{C}^{\alpha'})$-regular in the sense of Dinh, Ma and Nguyen.
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