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ALTERNATION THEORY IN APPROXIMATION BY POLYNOMIALS HAVING BOUNDED COEFFICIENTS
引用本文:许树声.ALTERNATION THEORY IN APPROXIMATION BY POLYNOMIALS HAVING BOUNDED COEFFICIENTS[J].应用数学学报(英文版),1994,10(3):262-273.
作者姓名:许树声
作者单位:Jiangnan University,Wuxi 214063,China
摘    要:ALTERNATIONTHEORYINAPPROXIMATIONBYPOLYNOMIALSHAVINGBOUNDEDCOEFFICIENTSXUSHUSHENG(许树声)(JiangnanUniversity,Wuxi214063,China)Abs...

收稿时间:10 December 1990

Alternation theory in approximation by polynomials having bounded coefficients
Shusheng Xu.Alternation theory in approximation by polynomials having bounded coefficients[J].Acta Mathematicae Applicatae Sinica,1994,10(3):262-273.
Authors:Shusheng Xu
Institution:(1) Jiangnan University, 214063 Wuxi, China
Abstract:LetX be a compact subset of an interval a, b] (a · b ge 0),fa continuous function defined onX, andK={p=Sgr j=0 n agr j xj:agr j lea j lebeta j j=0,1, ...,n} the set of algebraic polynomials having bounded coefficients. The paper gives an alternating characterization theorem of a polynomial of best uniform approximation tof fromK, and a de La Vallée-Poussin theorem.
Keywords:Alternation theory  approximation  approximation having bounded coeffiCients
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