{"title":"The Complex Spline Approximation of Singular Integral Operators over an Open Arc","authors":"Yonglin Xu","doi":"10.1006/jath.2002.3721","DOIUrl":null,"url":null,"abstract":"This paper mainly considers the smooth complex spline approximation of Cauchy-type integral operators over an open arc. First, the smoothness of the operators is investigated, then some properties of complex splines are discussed, and finally the error estimates of the approximation are given.","PeriodicalId":202056,"journal":{"name":"J. Approx. Theory","volume":"23 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2002-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"J. Approx. Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1006/jath.2002.3721","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
This paper mainly considers the smooth complex spline approximation of Cauchy-type integral operators over an open arc. First, the smoothness of the operators is investigated, then some properties of complex splines are discussed, and finally the error estimates of the approximation are given.
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