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| 光滑Jordan.曲线上一类极值多项式的逼近性质 | |
| 引用本文： | 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 |
| 作者姓名： | 谢庭藩 周颂平 朱来义 |
| 作者单位： | 1. 中国计量学院, 2. 宁波大学数学研究所, 3. 中国人民大学信息学院, |
| 基金项目： | Supported by the NationalScience Foundation of China (19771006) |
| 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. |
| 关 键 词： | 光滑Jordan曲线 极值多项式 逼近性质 Smirnov条件 |
| 文章编号： | 1000-341X(2001)02-0185-06 |
| 收稿时间： | 1998-02-24 |
| 修稿时间： | 1998-02-24 |
Approximation Properties of a Class of Extremal Polynomials over Smooth Jordan Curves |
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| XIE Ting-fan,ZHOU Song-ping and ZHU Lai-yi. Approximation Properties of a Class of Extremal Polynomials over Smooth Jordan Curves[J]. Journal of Mathematical Research with Applications, 2001, 21(2): 185-190 | |
| Authors: | XIE Ting-fan ZHOU Song-ping ZHU Lai-yi |
| Affiliation: | China Institute of Metrology, Zhejiang 310034, China;Inst. of Math., Ningbo University, Zhejiang 315211, China;College of Information, The People's University of China, Beijing 100872, China |
| Abstract: | 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. |
| Keywords: | smooth Jordan curve extremal polynomial approximation property. |
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