{"title":"$ \\vert x\\vert$在$ \\rbrack$，\\，+1\\rbrack$上的最佳一致有理逼近的数值结果","authors":"R. Varga, A. Ruttan, A. D. Karpenter","doi":"10.1070/SM1993V074N02ABEH003347","DOIUrl":null,"url":null,"abstract":"With denoting the error of best uniform rational approximation from to on , we determine the numbers , where each of these numbers was calculated with a precision of at least 200 significant digits. With these numbers, the Richardson extrapolation method was applied to the products , and it appears, to at least 10 significant digits, that which gives rise to an interesting new conjecture in the theory of rational approximation.","PeriodicalId":208776,"journal":{"name":"Mathematics of The Ussr-sbornik","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1993-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"11","resultStr":"{\"title\":\"NUMERICAL RESULTS ON BEST UNIFORM RATIONAL APPROXIMATION OF $ \\\\vert x\\\\vert$ ON $ \\\\lbrack-1,\\\\,+1\\\\rbrack$\",\"authors\":\"R. Varga, A. Ruttan, A. D. Karpenter\",\"doi\":\"10.1070/SM1993V074N02ABEH003347\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"With denoting the error of best uniform rational approximation from to on , we determine the numbers , where each of these numbers was calculated with a precision of at least 200 significant digits. With these numbers, the Richardson extrapolation method was applied to the products , and it appears, to at least 10 significant digits, that which gives rise to an interesting new conjecture in the theory of rational approximation.\",\"PeriodicalId\":208776,\"journal\":{\"name\":\"Mathematics of The Ussr-sbornik\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1993-02-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"11\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematics of The Ussr-sbornik\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1070/SM1993V074N02ABEH003347\",\"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-sbornik","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1070/SM1993V074N02ABEH003347","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
NUMERICAL RESULTS ON BEST UNIFORM RATIONAL APPROXIMATION OF $ \vert x\vert$ ON $ \lbrack-1,\,+1\rbrack$
With denoting the error of best uniform rational approximation from to on , we determine the numbers , where each of these numbers was calculated with a precision of at least 200 significant digits. With these numbers, the Richardson extrapolation method was applied to the products , and it appears, to at least 10 significant digits, that which gives rise to an interesting new conjecture in the theory of rational approximation.
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