{"title":"Hardy空间中几类解析函数的最佳多项式逼近","authors":"S. Vakarchuk, V. I. Zabutna, M. Vakarchuk","doi":"10.15421/241802","DOIUrl":null,"url":null,"abstract":"Problems of the best polynomial approximation of classes of analytic functions $$$H^m_{p,R}$$$, $$$m\\in \\mathbb{Z}_+$$$, $$$R \\geqslant 1$$$, $$$1 \\leqslant p \\leqslant \\infty$$$, have been investigated in the Hardy spaces $$$H_p$$$. The best linear methods of approximation were constructed on the indicated classes.","PeriodicalId":339757,"journal":{"name":"Dnipro University Mathematics Bulletin","volume":"22 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The best polynomial approximations of some classes of analytic functions in the Hardy spaces\",\"authors\":\"S. Vakarchuk, V. I. Zabutna, M. Vakarchuk\",\"doi\":\"10.15421/241802\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Problems of the best polynomial approximation of classes of analytic functions $$$H^m_{p,R}$$$, $$$m\\\\in \\\\mathbb{Z}_+$$$, $$$R \\\\geqslant 1$$$, $$$1 \\\\leqslant p \\\\leqslant \\\\infty$$$, have been investigated in the Hardy spaces $$$H_p$$$. The best linear methods of approximation were constructed on the indicated classes.\",\"PeriodicalId\":339757,\"journal\":{\"name\":\"Dnipro University Mathematics Bulletin\",\"volume\":\"22 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-06-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Dnipro University Mathematics Bulletin\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.15421/241802\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Dnipro University Mathematics Bulletin","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.15421/241802","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The best polynomial approximations of some classes of analytic functions in the Hardy spaces
Problems of the best polynomial approximation of classes of analytic functions $$$H^m_{p,R}$$$, $$$m\in \mathbb{Z}_+$$$, $$$R \geqslant 1$$$, $$$1 \leqslant p \leqslant \infty$$$, have been investigated in the Hardy spaces $$$H_p$$$. The best linear methods of approximation were constructed on the indicated classes.
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