Reverse Bonnesen-style inequalities on surfaces of constant curvature

DOI10.1142/S0129167X18500404zbMath1394.52002OpenAlexW2802476270MaRDI QIDQ4566078

BaoCheng Zhu, Wenxue Xu

Publication date: 14 June 2018

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x18500404

zbMATH Keywords

circumradiusinradiusisoperimetric deficitcontainment measuresurface of constant curvatureBonnesen-type inequalityreverse Bonnesen-type inequality

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (2) dimensions (including convex curves) (52A10) Non-Euclidean differential geometry (53A35) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

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The Orlicz-Lorentz centroid inequality for star bodies* ⋮ The lower bounds of the mixed isoperimetric deficit ⋮ A new proof of the Orlicz-Lorentz Busemann-Petty centroid inequality

Cites Work

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