{"title":"多项式系数线性微分方程边值问题解及其导数的同时逼近","authors":"E. S. Sinaiskii","doi":"10.1070/IM1992V038N03ABEH002214","DOIUrl":null,"url":null,"abstract":"The author investigates an algorithm for the construction of a polynomial that realizes the simultaneous approximation of the solution of a boundary value problem and its derivatives with the same rapidity of decrease of the error as for the case of the best uniform polynomial approximation of the function on an interval.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"100 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1992-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"SIMULTANEOUS APPROXIMATION OF THE SOLUTION AND ITS DERIVATIVES IN A BOUNDARY VALUE PROBLEM FOR A LINEAR DIFFERENTIAL EQUATION WITH POLYNOMIAL COEFFICIENTS\",\"authors\":\"E. S. Sinaiskii\",\"doi\":\"10.1070/IM1992V038N03ABEH002214\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The author investigates an algorithm for the construction of a polynomial that realizes the simultaneous approximation of the solution of a boundary value problem and its derivatives with the same rapidity of decrease of the error as for the case of the best uniform polynomial approximation of the function on an interval.\",\"PeriodicalId\":159459,\"journal\":{\"name\":\"Mathematics of The Ussr-izvestiya\",\"volume\":\"100 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1992-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematics of The Ussr-izvestiya\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1070/IM1992V038N03ABEH002214\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics of The Ussr-izvestiya","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1070/IM1992V038N03ABEH002214","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
SIMULTANEOUS APPROXIMATION OF THE SOLUTION AND ITS DERIVATIVES IN A BOUNDARY VALUE PROBLEM FOR A LINEAR DIFFERENTIAL EQUATION WITH POLYNOMIAL COEFFICIENTS
The author investigates an algorithm for the construction of a polynomial that realizes the simultaneous approximation of the solution of a boundary value problem and its derivatives with the same rapidity of decrease of the error as for the case of the best uniform polynomial approximation of the function on an interval.
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