Lower estimate of the isoperimetric deficit of convex domains in \(\mathbb{R}^ n\) in terms of asymmetry

DOI10.1007/BF01263492zbMath0806.53067MaRDI QIDQ685211

Bent Fuglede

Publication date: 30 September 1993

Published in: Geometriae Dedicata (Search for Journal in Brave)

zbMATH Keywords

isoperimetric deficitinequality of stability

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Integral geometry (53C65)

Related Items (3)

A Poincaré type inequality with three constraints ⋮ On the isoperimetric problem for radial log-convex densities ⋮ On the increase of capacity with asymmetry

Cites Work

• Bonnesen's inequality for the isoperimetric deficiency of closed curves in the plane
• On asymmetry and capacity
• Stability in the Isoperimetric Problem for Convex or Nearly Spherical Domains in R n

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