location:  Publications → journals → CMB
Abstract view

Published:2009-09-01
Printed: Sep 2009
• Martin Henk
• Mar\'\i a A. Hernández Cifre
 Format: HTML LaTeX MathJax PDF PostScript

## Abstract

In this note we present inequalities relating the successive minima of an $o$-symmetric convex body and the successive inner and outer radii of the body. These inequalities join known inequalities involving only either the successive minima or the successive radii.
 Keywords: successive minima, inner and outer radii
 MSC Classifications: 52A20 - Convex sets in $n$ dimensions (including convex hypersurfaces) [See also 53A07, 53C45] 52C07 - Lattices and convex bodies in $n$ dimensions [See also 11H06, 11H31, 11P21] 52A40 - Inequalities and extremum problems 52A39 - Mixed volumes and related topics