The lower bounds of the mixed isoperimetric deficit

DOI10.1007/s40840-020-01067-7zbMath1471.52007OpenAlexW3133268527MaRDI QIDQ2048988

Deyan Zhang

Publication date: 24 August 2021

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-020-01067-7

zbMATH Keywords

Hausdorff distanceevoluteWigner caustic\(L_2\) distancemixed isoperimetric deficit

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)

Related Items (1)

The geometry of the Wigner caustic and a decomposition of a curve into parallel arcs

Cites Work

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• The improved isoperimetric inequality and the Wigner caustic of planar ovals
• A lower bound for the isoperimetric deficit
• A reverse isoperimetric inequality for convex plane curves
• Mixed width-integrals of convex bodies
• A note on Hurwitz's inequality
• A generalized mixed width inequality and a generalized dual mixed radial inequality
• A note on the isoperimetric deficit
• Stability of a reverse isoperimetric inequality
• A generalization of the isoperimetric inequality
• Über das isoperimetrische Problem im Raum von \(n\) Dimensionen
• A new reverse isoperimetric inequality and its stability
• A refined reverse isoperimetric inequality in the plane
• Bonnesen-Style Isoperimetric Inequalities
• The isoperimetric inequality
• Reverse Bonnesen-style inequalities on surfaces of constant curvature
• 平面两凸域的Bonnesen型对称混合不等式
• Bonnesen-Style Symmetric Mixed Isoperimetric Inequality
• Convex Bodies The Brunn-MinkowskiTheory
• The Isoperimetric Inequality and the Lebesgue Definition of Surface Area

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