{"title":"KOLMOGOROV WIDTHS OF CLASSES OF PERIODIC FUNCTIONS OF ONE AND SEVERAL VARIABLES","authors":"É. M. Galeev","doi":"10.1070/IM1991V036N02ABEH002029","DOIUrl":null,"url":null,"abstract":"The order of Kolmogorov widths are determined for the class that is the intersection of classes of periodic functions of one variable of \"higher\" smoothness, in the space for , and estimates from above for \"low\" smoothness, and also the order of Kolmogorov widths is calculated for periodic functions of several variables in the space for . The estimate from below for reduces to the estimate from below of the width of a finite-dimensional set whose width is determined. Bibliography: 28 titles.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"210 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1991-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"22","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics of The Ussr-izvestiya","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1070/IM1991V036N02ABEH002029","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 22
Abstract
The order of Kolmogorov widths are determined for the class that is the intersection of classes of periodic functions of one variable of "higher" smoothness, in the space for , and estimates from above for "low" smoothness, and also the order of Kolmogorov widths is calculated for periodic functions of several variables in the space for . The estimate from below for reduces to the estimate from below of the width of a finite-dimensional set whose width is determined. Bibliography: 28 titles.
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