Optimizing area and perimeter of convex sets for fixed circumradius and inradius
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Publication:1871765
DOI10.1007/s00605-002-0486-zzbMath1022.52004OpenAlexW2040217759MaRDI QIDQ1871765
G. Salinas, Károly jun. Böröczky
Publication date: 4 May 2003
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00605-002-0486-z
areacircumradiusinradiusperimetergeometric inequalitiesextremum problemscomplete systems of inequalities
Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (2) dimensions (including convex curves) (52A10)
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Behaviour of inradius, circumradius, and diameter in generalized Minkowski spaces ⋮ SHARPENING GEOMETRIC INEQUALITIES USING COMPUTABLE SYMMETRY MEASURES ⋮ The missing \((A,D,r)\) diagram ⋮ The asymmetry of complete and constant width bodies in general normed spaces and the Jung constant ⋮ The convexification effect of Minkowski summation ⋮ TWO OPTIMISATION PROBLEMS FOR CONVEX BODIES ⋮ On the Cheeger inequality for convex sets ⋮ On spatial entropy of multi-dimensional symbolic dynamical systems
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