Successive radii and Minkowski addition

Successive radii and Minkowski addition

In this paper we study the behavior of the so called successive inner and outer radii with respect to the Minkowski addition of convex bodies, generalizing the well-known cases of the diameter, minimal width, circumradius and inradius. We get all possible upper and lower bounds for the radii of the...

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Veröffentlicht in:Monatshefte für Mathematik 2012-06, Vol.166 (3-4), p.395-409
Hauptverfasser: González, Bernardo, Hernández Cifre, María A.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung:In this paper we study the behavior of the so called successive inner and outer radii with respect to the Minkowski addition of convex bodies, generalizing the well-known cases of the diameter, minimal width, circumradius and inradius. We get all possible upper and lower bounds for the radii of the sum of two convex bodies in terms of the sum of the corresponding radii.
ISSN:0026-9255
1436-5081
DOI:10.1007/s00605-010-0268-y