Minimal pairs of convex bodies in two dimensions

DOI10.1112/S002557930001500XzbMath0759.52004MaRDI QIDQ4027935

Stefan Scholtes

Publication date: 3 March 1993

Published in: Mathematika (Search for Journal in Brave)

zbMATH Keywords

mixed volumesinclusion-minimal convex bodies

Mathematics Subject Classification ID

Mixed volumes and related topics in convex geometry (52A39) Convex sets in (2) dimensions (including convex curves) (52A10) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (23)

Minimal pairs of convex compact sets ⋮ Reduction of quasidifferentials and minimal representations ⋮ Mixed curvature measures for sets of positive reach and a translative integral formula ⋮ Reduced pairs of compact convex sets and ordered median functions ⋮ Minimal Pairs of Convex Sets Which Share a Recession Cone ⋮ Minimal and reduced pairs of convex bodies ⋮ On minimal convex pairs of convex compact sets ⋮ Decomposition of the polyhedron from Albrecht Dürer's ‘Melencolia I’ to a minimal pair of compact convex sets ⋮ Maximal pairs of convex sets and Zalgaller's minimal representation of dc-functions ⋮ Extreme points of lattice intervals in the Minkowski-Rådström-Hörmander lattice ⋮ Research on adjoint kernelled quasidifferential ⋮ Dual space of the Minkowski-Rådström-Hörmander space over \(\mathbb{R}^{2}\) ⋮ Decomposition of Minkowski-Rådström-Hörmander space to the direct sum of symmetric and asymmetric subspaces ⋮ On convex class of pairs of convex bodies ⋮ Constraint qualifications in quasidifferentiable optimization ⋮ Reduction of finite exhausters ⋮ A gradient-like method for quasidifferentiable optimization ⋮ Unnamed Item ⋮ Tangentially ds functions ⋮ The formulas for the representation of functions of two variables as a difference of sublinear functions ⋮ Constrained nonsmooth problems of the calculus of variations ⋮ A New Constraint Qualification and Sharp Optimality Conditions for Nonsmooth Mathematical Programming Problems in Terms of Quasidifferentials ⋮ Three criteria of minimality for pairs of compact convex sets

Cites Work

• Sur la fonction d'appui des ensembles convexes dans un espace localement convexe
• An Embedding Theorem for Spaces of Convex Sets

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