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限制同时Chebyshev逼近
SIMULTANEOUS APPROXIMATION WITH RESTRICTED RANGES
【摘要】 <正> 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
【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.
- 【文献出处】 计算数学 ,Mathematica Numerica Sinica , 编辑部邮箱 ,1990年01期
- 【被引频次】4
- 【下载频次】15