POSITIVE CENTRE SETS OF CONVEX CURVES AND A BONNESEN TYPE INEQUALITY

DOI10.1017/S0004972718001284zbMath1432.52002OpenAlexW2906013357MaRDI QIDQ4627570

Yunlong Yang

Publication date: 11 March 2019

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972718001284

zbMATH Keywords

inner parallel bodyBonnesen type inequalityregular \(n\)-gonpositive centre set

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (2) dimensions (including convex curves) (52A10)

Cites Work

• Dar's conjecture and the log-Brunn-Minkowski inequality
• The log-Brunn-Minkowski inequality
• The \(\varepsilon\)-positive center set and its applications
• Positive center sets of convex curves
• An isoperimetric inequality with applications to curve shortening
• The \(\epsilon\)-positive center figure
• Steiner polynomials, Wulff flows, and some new isoperimetric inequalities for convex plane curves
• Bonnesen-Style Isoperimetric Inequalities
• The isoperimetric inequality
• Positive Centers and the Bonnesen Inequality
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