{"title":"最大范数为4次的实多项式空间中单位球B4的极值点","authors":"Jan-Michael Holzinger, Róbert Vajda","doi":"10.1109/SYNASC57785.2022.00013","DOIUrl":null,"url":null,"abstract":"Denote by P<inf>n</inf> the space of real polynomials p of degree at most n equipped with the sup norm on the interval I = [−1, 1]. The unit ball B<inf>n</inf> with respect to the sup norm is a compact convex set. Let EB<inf>n</inf> denote the set of the extreme points of B<inf>n</inf>.","PeriodicalId":446065,"journal":{"name":"2022 24th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Extreme Points of the Unit Ball B4 in the Space of Real Polynomials of Degree at most Four with the Supremum Norm\",\"authors\":\"Jan-Michael Holzinger, Róbert Vajda\",\"doi\":\"10.1109/SYNASC57785.2022.00013\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Denote by P<inf>n</inf> the space of real polynomials p of degree at most n equipped with the sup norm on the interval I = [−1, 1]. The unit ball B<inf>n</inf> with respect to the sup norm is a compact convex set. Let EB<inf>n</inf> denote the set of the extreme points of B<inf>n</inf>.\",\"PeriodicalId\":446065,\"journal\":{\"name\":\"2022 24th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC)\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2022 24th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SYNASC57785.2022.00013\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2022 24th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SYNASC57785.2022.00013","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Extreme Points of the Unit Ball B4 in the Space of Real Polynomials of Degree at most Four with the Supremum Norm
Denote by Pn the space of real polynomials p of degree at most n equipped with the sup norm on the interval I = [−1, 1]. The unit ball Bn with respect to the sup norm is a compact convex set. Let EBn denote the set of the extreme points of Bn.
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