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Minkowski concentricity and complete simplices.
- Source :
-
Journal of Mathematical Analysis & Applications . Oct2017, Vol. 454 Issue 2, p981-994. 14p. - Publication Year :
- 2017
-
Abstract
- This paper considers the radii functionals (circumradius, inradius, and diameter) as well as the Minkowski asymmetry for general (possibly non-symmetric) gauge bodies. A generalization of the concentricity inequality (which states that the sum of the inradius and circumradius is not greater than the diameter in general Minkowski spaces) for non-symmetric gauge bodies is derived and a strong connection between this new inequality, extremal sets of the generalized Bohnenblust inequality, and completeness of simplices is revealed. [ABSTRACT FROM AUTHOR]
- Subjects :
- *MINKOWSKI space
*CONVEX bodies
*FUNCTIONALS
*MATHEMATICAL equivalence
*SET theory
Subjects
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 454
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 123428788
- Full Text :
- https://doi.org/10.1016/j.jmaa.2017.05.031