A general slicing inequality for measures of convex bodies
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DOI: 10.1186/s13660-019-2085-8
Abstract: AbstractWe 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 body… read more here.
Keywords: inequality; slicing inequality; general slicing; measures convex ... See more keywords