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On Mixed Quermassintegrals for log-concave Functions

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arxiv 2003.11367 v2 pith:3QLG4F4V submitted 2020-03-23 math.MG math.FA

classification math.MGmath.FA
keywords quermassintegralsexpressionfunctionalfunctionsintegrallog-concavemixedbodies
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abstract

In this paper, the functional Quermassintegrals of log-concave functions in $\mathbb R^n$ are discussed, we obtain the integral expression of the $i$-th functional mixed Quermassintegrals, which are similar to the integral expression of the $i$-th Quermassintegrals of convex bodies.

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