Steinhardt's inequality in the Minkowski plane

DOI10.1017/S0004972700030124zbMath0746.52003MaRDI QIDQ3986184

Mostafa Ghandehari

Publication date: 27 June 1992

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

zbMATH Keywords

circumferenceMinkowski planeRadon curvespolar dual

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (2) dimensions (including convex curves) (52A10) Minkowski geometries in nonlinear incidence geometry (51B20)

Related Items (2)

How the elliptic integrals \(K\) and \(E\) arise from circles and points in the Minkowski plane ⋮ The Blaschke-Steinhardt point of a planar convex set

Cites Work

• Mixed areas and the self-circumference of a plane convex body
• The mixed area of a convex body and its polar reciprocal
• The self-circumferences of polar convex disks
• An Equiperimetric Property of Minkowski Circles†

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