Optimizing the perimeter and the area of convex sets with fixed diameter and circumradius

DOI10.1007/s00013-002-8297-yzbMath1017.52004OpenAlexW2122060136MaRDI QIDQ1849720

María A. Hernández Cifre

Publication date: 1 December 2002

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

Full work available at URL: https://doi.org/10.1007/s00013-002-8297-y

zbMATH Keywords

areainequalitiesconvex setsdiametercircumradiusperimetercomplete systems of inequalities

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 (4)

Behaviour of inradius, circumradius, and diameter in generalized Minkowski spaces ⋮ The missing \((A,D,r)\) diagram ⋮ TWO OPTIMISATION PROBLEMS FOR CONVEX BODIES ⋮ On the Cheeger inequality for convex sets

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