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 ≥ 1.
A sharp Rogers-Shephard type inequality for the p-difference body of planar convex bodies / C. BIANCHINI; A. COLESANTI. - In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9939. - STAMPA. - 136:(2008), pp. 2575-2582. [10.1090/S0002-9939-08-09209-5]
A sharp Rogers-Shephard type inequality for the p-difference body of planar convex bodies
BIANCHINI, CHIARA;COLESANTI, ANDREA
2008
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 ≥ 1.
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