{"title":"On Simultaneous Approximation of Certain Classes of Functions in the Bergman Space B2","authors":"M. Sh. Shabozov, A. A. Shabozova","doi":"10.3103/s1066369x24700452","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>The problem of finding the supremums of the best simultaneous polynomial approximations of some classes of functions analytic in the unit disk and belonging to the Bergman space <span>\\({{B}_{2}}\\)</span> is considered. The indicated function classes are defined by the averaged values of the <span>\\(m\\)</span>th-order moduli of continuity of the highest derivative bounded from above by some majorant <span>\\(\\Phi \\)</span>.</p>","PeriodicalId":46110,"journal":{"name":"Russian Mathematics","volume":"45 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2024-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Russian Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3103/s1066369x24700452","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
The problem of finding the supremums of the best simultaneous polynomial approximations of some classes of functions analytic in the unit disk and belonging to the Bergman space \({{B}_{2}}\) is considered. The indicated function classes are defined by the averaged values of the \(m\)th-order moduli of continuity of the highest derivative bounded from above by some majorant \(\Phi \).
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
