We prove that a general class of measures, which includes log-concave measures, is 1/n-concave according to the terminology of Borell, with nadditional assumptions on the measures or on the sets, such as symmetries. This generalizes results of Gardner and Zvavitch published in 2010.
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© 2015 American Mathematical Society.
- Brunn-Minkowski inequality
- Convex measure
- Gaussian measure