Stabilities of the generalized mixed width and dual mixed radial inequalities

DOI10.7153/jmi-2020-14-86zbMath1468.51007OpenAlexW3115294069MaRDI QIDQ5858283

Hengfang Qiu, Deyan Zhang

Publication date: 12 April 2021

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2020-14-86

zbMATH Keywords

Hausdorff distance\(k\)-order radial function\(k\)-order width function\(L_2\)-metricSteiner discdual \(L_2\)-metric

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) Inequalities and extremum problems in real or complex geometry (51M16)

Cites Work

• Some remarks about closed convex curves
• A generalized mixed width inequality and a generalized dual mixed radial inequality
• Stability of a reverse isoperimetric inequality
• On Steiner points of convex bodies
• Stability properties Of the generalized Chernoff inequality
• A new reverse isoperimetric inequality and its stability
• Stability Estimates for some Geometric Inequalities
• Stability in the Isoperimetric Problem
• The dual generalized Chernoff inequality for star-shaped curves
• Convex Bodies The Brunn-MinkowskiTheory
• An Area-Width Inequality for Convex Curves
• Stability Properties of Geometric Inequalities

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