H. Martini, W. Wenzel: A Lipschitz-condition for the width function of convex bodies in arbitrary Minkowski spaces
- Author(s):
-
Horst Martini
Walter Wenzel
- Title:
- A Lipschitz-condition for the width function of convex bodies in arbitrary Minkowski spaces
- Electronic source:
-
application/pdf
- Preprint series:
- Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 25, 2007
- Mathematics Subject Classification:
-
46B20 [] 52A20 [] 52A21 [] - Abstract:
- Studying first the Euclidean subcase, we show that the Minkowskian width function of a convex body in an $n$-dimensional (normed linear or) Minkowski space satisfies a specified Lipschitz condition
- Keywords:
-
convex body,
diameter,
Lipschitz condition,
Minkowiski space,
normed linear space,
(Minkowskian) width function
- Language:
- English
- Publication time:
- 2007
