A lower bound for the isoperimetric deficit

DOI10.4171/EM/312zbMath1368.52004arXiv1605.06254MaRDI QIDQ509123

Julià Cufí, Agusti Reventos

Publication date: 8 February 2017

Published in: Elemente der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.06254

zbMATH Keywords

isoperimetric inequalityevoluteisoperimetric deficitBonnesen-style inequalitySteiner pointpedal curveplane compact convex sets

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (2) dimensions (including convex curves) (52A10) Length, area and volume in real or complex geometry (51M25) Inequalities and extremum problems in real or complex geometry (51M16)

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Cites Work

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• Bonnesen-Style Isoperimetric Inequalities
• An Interesting Property of the Evolute