谢庭藩,周颂平,朱来义.光滑Jordan.曲线上一类极值多项式的逼近性质[J].数学研究及应用,2001,21(2):185~190 |
光滑Jordan.曲线上一类极值多项式的逼近性质 |
Approximation Properties of a Class of Extremal Polynomials over Smooth Jordan Curves |
投稿时间:1998-02-24 |
DOI:10.3770/j.issn:1000-341X.2001.02.005 |
中文关键词: |
英文关键词:smooth Jordan curve extremal polynomial approximation property. |
基金项目: |
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中文摘要: |
关于Bieberbach多项式的逼近性质已有许多精彩结果,然而Jordan曲线上极值多项式的逼近性质却很少被考察.本文得到了C1+α光滑Jordan曲线上一类极值多项式的一些逼近结果. |
英文摘要: |
There have been many elegant results discussing the approximation proper ties of the Bieberbach polynomials. However, very few papers investigated the approximation properties of the extremal polynomials over Jordan curves. In the present paper, some results on a class of extremal polynomials over C1+α smooth Jordan curves are obtained. |
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