Rotation means of projections

DOI10.1007/BF02785674zbMath0629.52004MaRDI QIDQ1093902

Erwin Lutwak

Publication date: 1987

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

projectionsinequalitiesquermassintegrals of convex bodiesrotation means

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (1)

Positivity of valuations on convex bodies and invariant valuations by linear actions

Cites Work

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• The mean quermassintegral of simplices circumscribed about a convex body
• Inversion of two theorems of Archimedes
• A generalization of Minkowski's inequality for plane convex sets
• The mean value of the area of polygons circumscribed about a plane convex body
• Mixed width-integrals of convex bodies
• The affine image of a convex body of constant breadth
• The mean volume of boxes and cylinders circumscribed about a convex body
• Isoperimetric inequalities for the mean width of a convex body
• Mixed Projection Inequalities
• A General Isepiphanic Inequality
• Volume of Mixed Bodies
• A general Bieberbach inequality
• Geometric Inequalities for Plane Convex Bodies
• An Area-Width Inequality for Convex Curves
• The mean surface area of the boxes circumscribed about a convex body

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