A sharp Rogers and Shephard inequality for the 𝑝-difference body of planar convex bodies

Bianchini, Chiara; Colesanti, Andrea

doi:10.1090/S0002-9939-08-09209-5

A sharp Rogers and Shephard inequality for the $p$-difference body of planar convex bodies
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by Chiara Bianchini and Andrea Colesanti PDF

Proc. Amer. Math. Soc. 136 (2008), 2575-2582 Request permission

Abstract:

We prove a sharp Rogers and Shephard type inequality for the $p$-difference body of a convex body in the two-dimensional case, for every $p\ge 1$.

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