## Taiwanese Journal of Mathematics

### THE MEAN MINKOWSKI MEASURES FOR CONVEX BODIES OF CONSTANT WIDTH

#### Abstract

In this paper, we study the so-called mean Minkowski measures, proposed and studied by Toth in a series of papers, for convex bodies of constant width. We show that, with respect to the mean Minkowski measure, the completions of regular simplices are, as well as for many other measures, the most asymmetric ones among all convex bodies of constant width.

#### Article information

Source
Taiwanese J. Math., Volume 18, Number 4 (2014), 1283-1291.

Dates
First available in Project Euclid: 10 July 2017

https://projecteuclid.org/euclid.twjm/1499706490

Digital Object Identifier
doi:10.11650/tjm.18.2014.4198

Mathematical Reviews number (MathSciNet)
MR3245443

Zentralblatt MATH identifier
1357.52002

#### Citation

Jin, HaiLin; Guo, Qi. THE MEAN MINKOWSKI MEASURES FOR CONVEX BODIES OF CONSTANT WIDTH. Taiwanese J. Math. 18 (2014), no. 4, 1283--1291. doi:10.11650/tjm.18.2014.4198. https://projecteuclid.org/euclid.twjm/1499706490

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