Centered convex bodies and inequalities for cross-section measures

DOI10.7153/mia-18-56zbMath1331.52007OpenAlexW2517213936MaRDI QIDQ2950303

Zokhrab Mustafaev, Horst Martini

Publication date: 8 October 2015

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-18-56

zbMATH Keywords

ellipsoidsintersection bodyprojection bodyMinkowski geometrymixed volumesaffine isoperimetric inequalitiesPetty's projection inequalityzonoidsdual mixed volumesBusemann's intersection inequalitycrosssection measures

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) 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) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

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