#### 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
##### Milestones
Received: 8 August 2014
Revised: 7 March 2015
Accepted: 19 March 2015
Published: 15 July 2015
##### Authors
 Qi Guo Department of Mathematics Suzhou University of Science and Technology Suzhou, Jiangsu 215009 China JinFeng Guo Department of Mathematics Suzhou University of Science and Technology Suzhou, Jiangsu 215009 China XunLi Su Department of Mathematics Suzhou University of Science and Technology Suzhou, Jiangsu 215009 China