Successive radii and ball operators in generalized Minkowski spaces
DOI10.1515/advgeom-2017-0012zbMath1386.52003arXiv1411.1628OpenAlexW2963424791MaRDI QIDQ1707402
Publication date: 29 March 2018
Published in: Advances in Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1411.1628
Minkowski functionalgaugeconvex distance functioncontainment problemsuccessive radiiball hullball intersectiongeneralized Minkowski space
Inequalities and extremum problems involving convexity in convex geometry (52A40) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Approximation by convex sets (52A27)
Related Items (5)
Cites Work
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- Diametrically complete sets in Minkowski spaces
- Successive radii and Minkowski addition
- Structure of the space of diametrically complete sets in a Minkowski space
- Intrinsic volumes and successive radii
- Inequalities between the Kolmogorov and the Bernstein diameters in a Hilbert space
- Inner and outer \(j\)-radii of convex bodies in finite-dimensional normed spaces
- A generalization of Jung's theorem
- A generalization of Steinhagen's theorem
- No dimension-independent core-sets for containment under homothetics
- Extremal radii, diameter and minimum width in generalized Minkowski spaces
- Computational complexity of inner and outer \(j\)-radii of polytopes in finite-dimensional normed spaces
- Circle configurations in strictly convex normed planes
- Successive Minima and Radii
- SHARPENING GEOMETRIC INEQUALITIES USING COMPUTABLE SYMMETRY MEASURES
- DIAMETERS OF SETS IN FUNCTION SPACES AND THE THEORY OF BEST APPROXIMATIONS
- Estimating sizes of a convex body by successive diameters and widths
- On the ratio between successive radii of a symmetric convex body
- SUCCESSIVE RADII OF FAMILIES OF CONVEX BODIES
- INTERSECTIONS OF BALLS AND SETS OF CONSTANT WIDTH IN FINITE‐DIMENSIONAL NORMED SPACES
- Convex Bodies The Brunn-MinkowskiTheory
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