{"title":"Polynomial approximation of regular functions of a quaternionic variable","authors":"J. Szczepański","doi":"10.55225/sti.441","DOIUrl":null,"url":null,"abstract":"We consider Bernstein-Walsh-Siciak-type theorems on the polynomial approximation in the case of regular functions of one quaternionic variable and their applications to the uniform approximation and approximation in Lp norms with respect to measures satisfying the Bernstein-Markov condition.","PeriodicalId":7557,"journal":{"name":"African Journal of Science, Technology, Innovation and Development","volume":"1 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"African Journal of Science, Technology, Innovation and Development","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.55225/sti.441","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 consider Bernstein-Walsh-Siciak-type theorems on the polynomial approximation in the case of regular functions of one quaternionic variable and their applications to the uniform approximation and approximation in Lp norms with respect to measures satisfying the Bernstein-Markov condition.
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