08-02

Successive Minima and Radii

by Henk, M.; Hernández Cifre, M. A.

 

Preprint series: 08-02, Preprints

MSC:
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

 

Abstract: In this note we present inequalities relating the successive minima of a o-symmetric convex body and the successive inner and outer radii of the body. These inequalities build a bridge between known inequalities involving only either the successive minima or the successive radii.

Keywords: Successive minima, inner and outer radii


The author(s) agree, that this abstract may be stored asfull text and distributed as such by abstracting services.

Letzte Änderung: 01.03.2018 - Ansprechpartner:

Sie können eine Nachricht versenden an: Webmaster
Sicherheitsabfrage:
Captcha
 
Lösung: