| 非线性Chebyshev逼近的唯一性 |
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| 引用本文： | 王建东.非线性Chebyshev逼近的唯一性[J].计算数学,1986,8(3):231-241. |
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| 作者姓名： | 王建东 |
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| 作者单位： | 宁波师范学院 |
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| 摘 要： | §1.引言 设X是紧致Hausdooff空间,C(X)表示X上实值连续函数全体,带有一致范数 ||f||=max{|f(x)|:x∈X},f∈C(X).记 Z_f={x∈X:f(x)=0}, M_j={x∈X:|f(x)|=||f||}.又设l,u为X到拓广实数集-∞,∞]的函数,l
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THE UNIQUENESS OF NONLINEAR CHEBYSHEV APPROXIMATION |
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| Institution: | Wang Jian-dong Ningbo Normal College |
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| Abstract: | This paper discusses the uniqueness of best Chebyshev approximation by familieswith weak-betweenness property, presents an "if and only if" condition, and generalizesDunham's result. For best approximation with restricted range, we give two sufficientconditions of uniqueness. |
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