| 两个凸集距离问题中近渡点的特征 |
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| 引用本文： | 潘文熙.两个凸集距离问题中近渡点的特征[J].暨南大学学报,1999,20(3):1-7. |
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| 作者姓名： | 潘文熙 |
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| 作者单位： | 暨南大学数学系!广东广州５１０６３２ |
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| 摘 要： | 解决了近渡点的特征性质，它包括用线性泛函形式（著名的Ｋｏｌｍｏｇｏｒｏｖ型特征性）以及用方向导数表示其特征，从而推广了Ｓｉｎｇｅｒ的最佳逼近点特征理论．
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| 关 键 词： | 近渡点 支承泛函 强分离 泛函的方向导数 |
Characterization of nearest-cross points in the problem of distance of two convex sets |
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| PAN Wen - xi.Characterization of nearest-cross points in the problem of distance of two convex sets[J].Journal of Jinan University(Natural Science & Medicine Edition),1999,20(3):1-7. |
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| Authors: | PAN Wen - xi |
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| Abstract: | The characterization of nearest - cross points of G to F is obtained, where F, C are non -intersecting convex sets. It involves two kinds of characteristics, i. e., representing by linear functional(Kolmogorov - type criteria) and by directional derivatives of . They are established by the theorems of strong separation with distance property due to the present author, and which generalize the characterization property of best approximation of C to one Point given by Singar. |
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| Keywords: | : nearest cross point supporting functional strong separation directional derivation of afunctional |
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