| 限制同时Chebyshev逼近 |
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| 引用本文： | 李冲.限制同时Chebyshev逼近[J].计算数学,1990,12(1):9-16. |
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| 作者姓名： | 李冲 |
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| 作者单位： | 杭州商学院 |
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| 摘 要： | 设T是紧Hausdorff空间,C(T)表示定义在T上的实值连续函数全体.对f∈C(T),定义 ||f||=max|f(t)|,则C(T)是Banach空间。再设λ_i>0(i=1,2,…,m),sum from i=1 to m(λ_i)=1,(1≤m≤+∞,1≤p<+∞),令
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| 关 键 词： | 限制值域 同时逼近 特征 唯一性 |
SIMULTANEOUS APPROXIMATION WITH RESTRICTED RANGES |
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| Institution: | Li Chong Hangzhou Institute of Commerce |
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| Abstract: | In this paper, we continue to consider the best simultaneous approximation studied by Y.G.Shi and the author. The characterization of best simultaneous approximations by functions ha-ving restricted ranges is given, and for any generalized Haar system, the unicity is obtained.Also, some remarks and examples are given to illustrate the theorems. |
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