| Orlicz空间上最佳逼近元的Kolmogorov型特征 |
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| 引用本文： | 倪仁兴. Orlicz空间上最佳逼近元的Kolmogorov型特征[J]. 绍兴文理学院学报, 1997, 0(5) |
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| 作者姓名： | 倪仁兴 |
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| 摘 要： | 本文主要得到了Orlicz空间L_M~*中非空子集C对L_M~*的最佳逼近的特征条件及其特征性质的刻划，即Kolmogorov型特征。所得结论推广了[4][5]中主要结果。
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| 关 键 词： | Orlicz空间 最佳逼近元 Kolmogorov型特征 Orlicz范数 Luxemburg范数 |
The Kolmogorov Type Characterization for Best Approximation Elements in Orlicz Spaces |
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| Ni Renxing. The Kolmogorov Type Characterization for Best Approximation Elements in Orlicz Spaces[J]. Journal of Shaoxing College of Arts and Sciences, 1997, 0(5) |
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| Authors: | Ni Renxing |
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| Affiliation: | Department of Mathematics |
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| Abstract: | In this paper, We obtain the characterization condition of best approximation elements from an Orlicz space LM to its nonempty subsets C, Moreover, conditions of subsets C to ensure the true of characterization condition are involved. these theorems include the main result of [4,5] as special case. |
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| Keywords: | Orlicz space elements of best approximation the characterization of Kolmogorov type Orlicz norm Luxemburg norm |
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