| 复赋范空间中复RS集的最佳同时逼近 |
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| 引用本文： | 罗先发.复赋范空间中复RS集的最佳同时逼近[J].高校应用数学学报(A辑),2005,20(3):337-345. |
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| 作者姓名： | 罗先发 |
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| 作者单位： | 东南大学,数学系,江苏南京,210096;吉首大学,数学与计算机科学学院,湖南吉首,416000 |
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| 基金项目： | 国家自然科学基金（10271025） |
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| 摘 要： | 研究了复赋范空间中具限制系数的广义多项式集G对无穷序列的最佳同时逼近问题，得到了特征定理；当G是复RS集时还得到了惟一性定理．
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| 关 键 词： | 最佳同时逼近 复R5集 特征 惟一性 |
| 文章编号： | 1000-4424（2005）03-0337-09 |
| 收稿时间： | 2004-05-31 |
| 修稿时间： | 2004-05-31 |
Best simultaneous approximation from complex RS-sets in complex normed spaces |
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| LUO Xian-fa.Best simultaneous approximation from complex RS-sets in complex normed spaces[J].Applied Mathematics A Journal of Chinese Universities,2005,20(3):337-345. |
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| Authors: | LUO Xian-fa |
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| Abstract: | This paper is concerned with the problem of the best simultaneous approximation from generalized polynomials with restricted coefficients to an infinite sequence in complex normed linear spaces. The characterizations of the best approximation from generalized polynomials with restricted coefficients are proved and the uniqueness of the best approximation from a complex RS-set is given. |
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| Keywords: | best simultaneous approximation complex RS-set characterization uniqueness |
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