{"title":"关于离零最小偏差的多元拟多项式","authors":"F. Luquin","doi":"10.1006/jath.2001.3582","DOIUrl":null,"url":null,"abstract":"We generalize to several variables both the upper and the lower Gelfond bounds for the least uniform deviation from zero of the quasipolynomials (or Muntz-Legendre polynomials) on the segment [0, 1]. Orthonormal quasipolynomials are also considered.","PeriodicalId":202056,"journal":{"name":"J. Approx. Theory","volume":"13 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2001-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Multivariate Quasipolynomials of the Minimal Deviation from Zero\",\"authors\":\"F. Luquin\",\"doi\":\"10.1006/jath.2001.3582\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We generalize to several variables both the upper and the lower Gelfond bounds for the least uniform deviation from zero of the quasipolynomials (or Muntz-Legendre polynomials) on the segment [0, 1]. Orthonormal quasipolynomials are also considered.\",\"PeriodicalId\":202056,\"journal\":{\"name\":\"J. Approx. Theory\",\"volume\":\"13 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2001-10-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"J. Approx. Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1006/jath.2001.3582\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"J. Approx. Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1006/jath.2001.3582","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On Multivariate Quasipolynomials of the Minimal Deviation from Zero
We generalize to several variables both the upper and the lower Gelfond bounds for the least uniform deviation from zero of the quasipolynomials (or Muntz-Legendre polynomials) on the segment [0, 1]. Orthonormal quasipolynomials are also considered.
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