Home On successive radii of p-sums of convex bodies
Article
Licensed
Unlicensed Requires Authentication

On successive radii of p-sums of convex bodies

  • Bernardo González EMAIL logo and María A. Hernández Cifre
Published/Copyright: January 17, 2014
Become an author with De Gruyter Brill
Advances in Geometry
From the journal Volume 14 Issue 1

Abstract

We study the behavior of the successive inner and outer radii with respect to the Firey p-sums of convex bodies, where p ≥ 1. For all p ≥ 1 we get upper and lower bounds for the radii of the p-sum of two convex bodies in terms of the radii of the sets. These results generalize the corresponding relations for the classical Minkowski addition.

References

Published Online: 2014-01-17
Published in Print: 2014-01

© 2014 by Walter de Gruyter GmbH & Co.

Downloaded on 14.9.2025 from https://www.degruyterbrill.com/document/doi/10.1515/advgeom-2013-0023/html
Scroll to top button