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  • Author or Editor: Daniel Hug x
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Let K be a convex body in ℝd, let j ∈ {1, …, d−1}, and let K(n) be the convex hull of n points chosen randomly, independently and uniformly from K. If ∂K is C + 2, then an asymptotic formula is known due to M. Reitzner (and due to I. Bárány if ∂K is C + 3) for the difference of the jth intrinsic volume of K and the expectation of the jth intrinsic volume of K(n). We extend this formula to the case when the only condition on K is that a ball rolls freely inside K.

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