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math.MG2011
Stronger versions of the Orlicz-Petty projection inequality
Károly J. Böröczky
We verify a conjecture of Lutwak, Yang, Zhang about the equality case in the Orlicz-Petty projection inequality, and provide an essentially optimal stability version.
math.MG2011★ 13 cited
Intrinsic volumes of random polytopes with vertices on the boundary of a convex body
Károly J. Böröczky, Ferenc Fodor, Daniel Hug
Let be a convex body in , let , and let be a positive and continuous probability density function with respect to the -dimensional H…