S. Campi

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math.MG2016

On the reverse Loomis-Whitney inequality

Stefano Campi, Peter Gritzmann, Paolo Gronchi

The present paper deals with the problem of computing (or at least estimating) the LW-number $λ (n)$ , i.e., the supremum of all $γ$ such that for each convex body $K$ in $\mathbb{R}…

math.MG2013

Reverse and dual Loomis-Whitney-type inequalities

Stefano Campi, Richard J. Gardner, Paolo Gronchi

Various results are proved giving lower bounds for the $m$ th intrinsic volume $V_{m} (K)$ , $m = 1, \dots, n - 1$ , of a compact convex set $K$ in $R^{n}$ , in terms of the $m$ th intr…