A new counterexample to Sangwine-Yager's conjecture

DOI10.7153/mia-2019-22-37zbMath1421.52011OpenAlexW2931441708WikidataQ123257514 ScholiaQ123257514MaRDI QIDQ5226567

Alina Stancu, Josh Lalonde

Publication date: 1 August 2019

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-2019-22-37

zbMATH Keywords

counterexampleinradiusBonnesen's inequalityroots of Steiner polynomialoutradius

Mathematics Subject Classification ID

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

Cites Work

• Bonnesen-style Wulff isoperimetric inequality
• Notes on the roots of Steiner polynomials
• A Bonnesen-style inradius inequality in 3-space
• The Bonnesen isoperimetric inequality in a surface of constant curvature
• Some Bonnesen-style inequalities for higher dimensions
• Bonnesen-Style Inequalities for Minkowski Relative Geometry
• The isoperimetric inequality
• Differentiability of quermassintegrals: A classification of convex bodies
• Convex Bodies The Brunn-MinkowskiTheory
• A Proof of Minkowski's Inequality for Convex Curves
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