| 摘要: |
| 引进了所有星体集合上对偶Orlicz Hausdorff度量，讨论了其一些基本性质；并将其与一些经典的对偶Hausdorff度量做了比较：设φ∈￡，K，L∈Sn0，则δ〖DD(-0.5mm〗〖HT5〗~〖HT〗〖DD)〗φ(K,L)≥δ〖DD(-0.5mm〗〖HT5〗~〖HT〗〖DD)〗1(K,L). |
| 关键词: 星体 对偶Hausdorf度量；对偶Lp Hausdorff度量；对偶Orlicz Hausdorff度量 |
| DOI： |
| 分类号: |
| 基金项目: |
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| Dual Orlicz Hausdorff Metric for Star Bodies |
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FENG Li rong
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| Abstract: |
| In this paper, we introduced dual Orlicz Hausdorff metric for all star bodies sets, discussed some of their basic properties, and compared them with some classical dual Hausdorff metrics. Let φ∈￡,K,L∈Sno, then δ〖DD(-0.5mm〗〖HT5〗~〖HT〗〖DD)〗φ(K,L)≥δ〖DD(-0.5mm〗〖HT5〗~〖HT〗〖DD)〗0(K,L) |
| Key words: star bodies dual Hausdorff metric dual Lp Hausdorff metric dual Orlicz Hausdorff metric |
