New inequalities for Holmes–Thompson and Busemann measures

DOI10.14232/actasm-019-130-4zbMath1474.46035OpenAlexW3024260286MaRDI QIDQ5126105

Zokhrab Mustafaev, Horst Martini

Publication date: 2 October 2020

Published in: Acta Scientiarum Mathematicarum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14232/actasm-019-130-4

zbMATH Keywords

intersection bodyprojection bodyMinkowski geometryinner radiusBlaschke-Santaló inequalityaffine isoperimetric inequalitiesisoperimetrixouter radiuscross-section measuresBusemann measureHolmes-Thompson measure

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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