{"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}
引用次数: 0
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.