A general slicing inequality for measures of convex bodies
Abstract We consider the following inequality: μ(L)n−kn≤CkmaxH∈Grn−kμ(L∩H), $$\begin{aligned} \mu (L)^{\frac{n-k}{n}} \leq C^{k}\max_{H\in \mathit{Gr}_{n-k}}\mu (L \cap H), \end{aligned}$$ which is a variant of the notable slicing inequality in convex geometry, where L is an origin-symmetric star bo...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-05-01
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| Series: | Journal of Inequalities and Applications |
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| Online Access: | http://link.springer.com/article/10.1186/s13660-019-2085-8 |