On relative geometric inequalities

DOI10.7153/mia-07-15zbMath1048.52004OpenAlexW2167360262MaRDI QIDQ4464291

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Publication date: 27 May 2004

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-07-15

zbMATH Keywords

diametercircumferenceinradiusperimetersets of constant widthDido's problemrelative geometric inequalityrelative isoperimetric problem

Mathematics Subject Classification ID

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

Related Items (4)

On a relative isodiametric inequality for centrally symmetric, compact, convex surfaces ⋮ Trisections of a 3-rotationally symmetric planar convex body minimizing the maximum relative diameter ⋮ Comparing the relative volume with the relative inradius and the relative width ⋮ Bisections of centrally symmetric planar convex bodies minimizing the maximum relative diameter

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