TWO OPTIMISATION PROBLEMS FOR CONVEX BODIES

DOI10.1017/S0004972715000799zbMath1352.52012OpenAlexW1421435571MaRDI QIDQ2786586

Yunlong Yang, Deyan Zhang

Publication date: 15 February 2016

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972715000799

zbMATH Keywords

diametercircumradiusinradiusminimum widthSantaló diagramspherical symmetric slicesymmetric 2-cap body

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (3) dimensions (including convex surfaces) (52A15)

Related Items (1)

The missing \((A,D,r)\) diagram

Cites Work

• Optimizing the perimeter and the area of convex sets with fixed diameter and circumradius
• Optimizing area and perimeter of convex sets for fixed circumradius and inradius
• The missing boundaries of the Santaló diagrams for the cases \((d,\omega,R)\) and \((\omega,R,r)\)
• Is There a Planar Convex Set with Given Width, Diameter, and Inradius?
• A family of inequalities for convex sets

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