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Successive Minima and Radii

Published online by Cambridge University Press:  20 November 2018

Martin Henk  and
María A. Hernández Cifre
Martin Henk
Affiliation:
Institut für Algebra und Geometrie, Otto-von-Guericke Universität Magdeburg, Universitätsplatz 2, D-39106 Magdeburg, Germany e-mail: henk@math.uni-magdeburg.de
María A. Hernández Cifre
Affiliation:
Departamento de Matemáticas, Universidad de Murcia, Campus de Espinardo, 30100-Murcia, Spain e-mail: mhcifre@um.es
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Abstract

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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

52A2052C0752A4052A39successive minimainner and outer radii
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 52 , Issue 3 , 01 September 2009 , pp. 380 - 387
Copyright
Copyright © Canadian Mathematical Society 2009

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