Interaction of order and convexity

DOI10.1134/S1990478907040011zbMath1302.52006arXiv0705.4124MaRDI QIDQ467642

Semen S. Kutateladze

Publication date: 4 November 2014

Published in: Journal of Applied and Industrial Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.4124

zbMATH Keywords

convex bodyconvex geometryMinkowski dualityAlexandrov measureA. D. AlexandrovBlaschke structurevector lattice theory

Mathematics Subject Classification ID

Biographies, obituaries, personalia, bibliographies (01A70) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (1)

Multiple criteria problems over Minkowski balls

Cites Work

• Imbedding a ``soap bubble into a tetrahedron
• Sur la fonction d'appui des ensembles convexes dans un espace localement convexe
• The Brunn-Minkowski inequality
• Unique Direct Integral Decompositions on Convex Sets
• Comparaison, des mesures portées par un ensemble convexe compact
• An Embedding Theorem for Spaces of Convex Sets
• Inequalities: theory of majorization and its applications
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