#### Vol. 276, No. 2, 2015

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The measures of asymmetry for coproducts of convex bodies

### Qi Guo, JinFeng Guo and XunLi Su

Vol. 276 (2015), No. 2, 401–418
##### Abstract

In previous work, we introduced a family of $p$-measures of asymmetry for convex bodies, which have the well-known Minkowski measure of asymmetry as a particular case. We now reveal more properties of $\mathfrak{1}$-measure and $\infty$-measure and give some calculating formulas of $p$-measures, in particular, for the so-called coproducts of convex bodies.

##### Keywords
Convex bodies, $p$-measure of asymmetry, Mixed volume, Mixed area measure
##### Mathematical Subject Classification 2010
Primary: 52A20, 52A38, 52A39, 52A40