{"title":"Estimates of the Chebyshev Radius in Terms of the MAX-Metric Function and the MAX-Projection Operator","authors":"I. G. Tsar’kov","doi":"10.1134/S1061920823010107","DOIUrl":null,"url":null,"abstract":"<p> Singleton approximations of sets in asymmetric spaces are studied. Estimate of the Chebyshev radius of a set depending on the behavior of the MAX-distance function and if the MAX - projection operator has not too many points of discontinuity. </p>","PeriodicalId":763,"journal":{"name":"Russian Journal of Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":1.7000,"publicationDate":"2023-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Russian Journal of Mathematical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S1061920823010107","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}
引用次数: 0
Abstract
Singleton approximations of sets in asymmetric spaces are studied. Estimate of the Chebyshev radius of a set depending on the behavior of the MAX-distance function and if the MAX - projection operator has not too many points of discontinuity.
期刊介绍：
Russian Journal of Mathematical Physics is a peer-reviewed periodical that deals with the full range of topics subsumed by that discipline, which lies at the foundation of much of contemporary science. Thus, in addition to mathematical physics per se, the journal coverage includes, but is not limited to, functional analysis, linear and nonlinear partial differential equations, algebras, quantization, quantum field theory, modern differential and algebraic geometry and topology, representations of Lie groups, calculus of variations, asymptotic methods, random process theory, dynamical systems, and control theory.
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