Isoperimetric inequalities for the mixed area of plane convex sets

DOI10.1007/BF01246750zbMath0765.52011MaRDI QIDQ1204070

Wolfgang Weil, Ulrich. Betke

Publication date: 18 February 1993

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

mixed volumeisoperimetric problemsMinkowski's inequalitymixed arearegular polygons

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Mixed volumes and related topics in convex geometry (52A39)

Related Items

Reverse Alexandrov–Fenchel inequalities for zonoids, Uniform cover inequalities for the volume of coordinate sections and projections of convex bodies, Extremizers and stability of the Betke-Weil inequality, A reverse Minkowski-type inequality, Reverse inequalities for zonoids and their application, Mixed volumes of polytopes, On isoperimetric inequalities in Minkowski spaces, REMARKS ABOUT MIXED DISCRIMINANTS AND VOLUMES, On Blaschke's extension of Bonnesen's inequality

Cites Work

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• Point processes of cylinders, particles and flats
• Mixed volumes of polytopes
• Densities for stationary random sets and point processes
• Shepard's Approximation Theorem for Convex Bodies and the Milman Theorem.