Volume Inequalities forLp‐Zonotopes

DOI10.1112/S0025579300000036zbMath1117.52011OpenAlexW2043087417MaRDI QIDQ3433993

Paolo Gronchi, Stefano Campi

Publication date: 23 April 2007

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579300000036

zbMATH Keywords

zonotopevolume inequality

Mathematics Subject Classification ID

Special polytopes (linear programming, centrally symmetric, etc.) (52B12) Inequalities and extremum problems involving convexity in convex geometry (52A40) Isoperimetric problems for polytopes (52B60)

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Cites Work

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• Zonoids with Minimal Volume-Product--A New Proof
• Shadows of Convex Bodies
• Extremal convex sets for Sylvester–Busemann type functionals
• On volume product inequalities for convex sets
• Optimal Sobolev norms and the Lp Minkowski problem
• $p$-Means of Convex Bodies.