The dual generalized Chernoff inequality for star-shaped curves

DOI10.3906/mat-1504-12zbMath1424.52007OpenAlexW2253860685MaRDI QIDQ4633105

Yunlong Yang, Deyan Zhang

Publication date: 2 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1504-12

zbMATH Keywords

equichordal curvesdual Chernoff-Ou-Pan inequalitystar curves

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) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)

Related Items (6)

Evolving convex curves to constant \(k\)-order width ones by a perimeter-preserving flow ⋮ Two Chernoff-type inequalities and their stability properties ⋮ Chernoff type inequalities involving \(k\)-order width and their stability properties ⋮ Starshaped sets ⋮ A generalized mixed width inequality and a generalized dual mixed radial inequality ⋮ Stabilities of the generalized mixed width and dual mixed radial inequalities

Cites Work

• Some remarks about closed convex curves
• Intersection bodies and dual mixed volumes
• A complete solution to the equichordal point problem of Fujiwara, Blaschke, Rothe and Weizenböck
• Inequalities for dual quermassintegrals of mixed intersection bodies
• Dual mixed volumes
• Stability properties Of the generalized Chernoff inequality
• Centroid Bodies and Dual Mixed Volumes
• Centered Bodies and Dual Mixed Volumes
• An Area-Width Inequality for Convex Curves

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