{"title":"关于函数类的最优逼近流形的注记","authors":"A. Netravali","doi":"10.1002/J.1538-7305.1973.TB02016.X","DOIUrl":null,"url":null,"abstract":"Concept of n-width and extremal subspaces, first introduced by Kolmogorov, plays an important part in mathematical problems of approximation of classes of functions and in engineering problems of signal representation and reconstruction. In this short paper, explicit expressions for n-width and extremal subspaces are obtained for a class which is of some engineering importance.","PeriodicalId":55391,"journal":{"name":"Bell System Technical Journal","volume":"1 1","pages":"1237-1242"},"PeriodicalIF":0.0000,"publicationDate":"1973-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A note on optimal approximating manifolds of a function class\",\"authors\":\"A. Netravali\",\"doi\":\"10.1002/J.1538-7305.1973.TB02016.X\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Concept of n-width and extremal subspaces, first introduced by Kolmogorov, plays an important part in mathematical problems of approximation of classes of functions and in engineering problems of signal representation and reconstruction. In this short paper, explicit expressions for n-width and extremal subspaces are obtained for a class which is of some engineering importance.\",\"PeriodicalId\":55391,\"journal\":{\"name\":\"Bell System Technical Journal\",\"volume\":\"1 1\",\"pages\":\"1237-1242\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1973-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bell System Technical Journal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1002/J.1538-7305.1973.TB02016.X\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bell System Technical Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1002/J.1538-7305.1973.TB02016.X","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A note on optimal approximating manifolds of a function class
Concept of n-width and extremal subspaces, first introduced by Kolmogorov, plays an important part in mathematical problems of approximation of classes of functions and in engineering problems of signal representation and reconstruction. In this short paper, explicit expressions for n-width and extremal subspaces are obtained for a class which is of some engineering importance.
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