| 对n个函数的最佳同时L_1逼近 |
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| 引用本文： | 王建忠.对n个函数的最佳同时L_1逼近[J].计算数学,1982,4(1):30-36. |
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| 作者姓名： | 王建忠 |
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| 作者单位： | 浙江大学 |
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| 摘 要： | 1 G.M.Phillips和B.N.Sahney在1]中讨论了对两个实值函数f_1(x)和f_2(x)的最佳同时L_1逼近问题.接着,A.S.B.Holland,J.H.McCabe,G.M.Phillips和 B.N.Sahney在2]中把1]的部分结果推广到了n个实值函数的情形. 按照2],n个实值函数的最佳同时L_1逼近有三种不同提法,它们可以分别定义如下.
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BEST SIMULTANEOUS L_1-APPROXIMATIONS TO n FUNCTIONS |
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| Institution: | Wang Jian-zhong Zhejiang University |
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| Abstract: | In this paper, we discuss two different kinds of best simultaneous L_1-approxima-tions. Using so-called lattice operations of functions, we find the sufficient andnecessary conditions to the existence of the elements of best simultaneous L_1-approxi-mations. In addition, the representatives of the best simultaneous L_1-approximationvalues are given. These generalize results obtained by G. M. Phillips, B. N. Sahney,A. S. B. Holland and J. H. McCabe, who studied the same problems. |
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