An inequality for the perimeter of the centroid body in the plane

DOI10.7153/mia-2021-24-41zbMath1475.52001OpenAlexW3189689885MaRDI QIDQ5153576

Ulises Velasco-García, Z. Guerrero-Zarazua, Francisco G. Jimenez-Lopez, Jesús Jerónimo-Castro

Publication date: 30 September 2021

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

Full work available at URL: https://doi.org/10.7153/mia-2021-24-41

zbMATH Keywords

centrally symmetriccentroid bodyperimeter inequalityBusemann-Petty-type inequality

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Convex sets in (2) dimensions (including convex curves) (52A10)

Cites Work

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• Centroid surfaces
• Hyperplane sections of convex bodies in isotropic position
• Some comments on floating and centroid bodies in the plane
• About the centroid blody and the ellipsoid of inertia

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