{"title":"亚历山德罗夫有限段上$ C^{\\infty} $光滑函数紧凑集的$ n $宽的估计值","authors":"V. N. Belykh","doi":"10.1134/s0037446624010014","DOIUrl":null,"url":null,"abstract":"<p>We obtain two-sided\nestimates for Alexandrov’s <span>\\( n \\)</span>-width of\nthe compact set of infinitely smooth functions\nboundedly embedded into the space of continuous functions on a finite segment.</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Estimates of Alexandrov’s $ n $ -Width of the Compact Set of $ C^{\\\\infty} $ -Smooth Functions on a Finite Segment\",\"authors\":\"V. N. Belykh\",\"doi\":\"10.1134/s0037446624010014\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We obtain two-sided\\nestimates for Alexandrov’s <span>\\\\( n \\\\)</span>-width of\\nthe compact set of infinitely smooth functions\\nboundedly embedded into the space of continuous functions on a finite segment.</p>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-02-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1134/s0037446624010014\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1134/s0037446624010014","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Estimates of Alexandrov’s $ n $ -Width of the Compact Set of $ C^{\infty} $ -Smooth Functions on a Finite Segment
We obtain two-sided
estimates for Alexandrov’s \( n \)-width of
the compact set of infinitely smooth functions
boundedly embedded into the space of continuous functions on a finite segment.
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