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| 摘要: |
| 本文研究了一个与投影体相关的锥体积不等式.利用凸函数的梯度性质,获得了n维欧氏空间中关于任意原点对称凸体的一个锥体积不等式,推进了Schneider投影问题的解决. |
| 关键词: 凸体 投影体 Schneider投影问题 锥体积不等式 |
| DOI： |
| 分类号:O186.5 |
| 基金项目: |
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| A PROJECTION-RELATED CONE VOLUME INEQUALITY |
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YANG Ying,LI De-yi
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| Abstract: |
| In this paper, we study a projection-related cone volumn inequality. By using gradient projection of convex function, we obtain a new cone volume inequality restricted to the origin-symmetric convex bodies in Rn. The inequality promotes the solves of Schneider's projection problem. |
| Key words: convex bodies projection body Schneider's projection problem cone volume inequality |
