{"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":49533,"journal":{"name":"Siberian Mathematical Journal","volume":"25 1","pages":""},"PeriodicalIF":0.7000,"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\":49533,\"journal\":{\"name\":\"Siberian Mathematical Journal\",\"volume\":\"25 1\",\"pages\":\"\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2024-02-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Siberian Mathematical Journal\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1134/s0037446624010014\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Siberian Mathematical Journal","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1134/s0037446624010014","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","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.
期刊介绍：
Siberian Mathematical Journal is journal published in collaboration with the Sobolev Institute of Mathematics in Novosibirsk. The journal publishes the results of studies in various branches of mathematics.
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