{"title":"拟光滑弧上某类函数的构造描述","authors":"V V Andrievskiĭ, V V Maĭmeskul","doi":"10.1070/IM1995v044n01ABEH001589","DOIUrl":null,"url":null,"abstract":"Three classes of functions are introduced, corresponding to known results in the theory of uniform polynomial approximation of functions on arcs in the complex plane. The structural properties of functions in these classes are described from a unified point of view, which allows one to understand more fully their nature and the differences between them.","PeriodicalId":158473,"journal":{"name":"Russian Academy of Sciences. Izvestiya Mathematics","volume":"144 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"10","resultStr":"{\"title\":\"CONSTRUCTIVE DESCRIPTION OF CERTAIN CLASSES OF FUNCTIONS ON QUASISMOOTH ARCS\",\"authors\":\"V V Andrievskiĭ, V V Maĭmeskul\",\"doi\":\"10.1070/IM1995v044n01ABEH001589\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Three classes of functions are introduced, corresponding to known results in the theory of uniform polynomial approximation of functions on arcs in the complex plane. The structural properties of functions in these classes are described from a unified point of view, which allows one to understand more fully their nature and the differences between them.\",\"PeriodicalId\":158473,\"journal\":{\"name\":\"Russian Academy of Sciences. Izvestiya Mathematics\",\"volume\":\"144 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"10\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Russian Academy of Sciences. Izvestiya Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1070/IM1995v044n01ABEH001589\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Russian Academy of Sciences. Izvestiya Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1070/IM1995v044n01ABEH001589","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
CONSTRUCTIVE DESCRIPTION OF CERTAIN CLASSES OF FUNCTIONS ON QUASISMOOTH ARCS
Three classes of functions are introduced, corresponding to known results in the theory of uniform polynomial approximation of functions on arcs in the complex plane. The structural properties of functions in these classes are described from a unified point of view, which allows one to understand more fully their nature and the differences between them.