多项式倒数逼近的Xn精确阶估计
An Improvement to Borwein's Precise Estimate
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摘要: 令Пm表示所有次数不超过m的代数多项式的集合,Borwein在文1中得到
???19860410-1???||xn-（1）/（pm(x)）||0,1
的精确估计,其中||f(x)||a,b=???19860410-2???|f(x)|.本文改进了其估计式的系数。Abstract: LetПm denote the set of all algebraic polynomials of degree not more than m. In1 Borwein derived the precise estimate for
???19860410-1???||xn-(1)/(pm(x))||0,1
where||f(x)||a,b=???19860410-2???|f(x)|In this paper the cofficients of Borwein's estimate are improved.
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