On area and side lengths of triangles in normed planes

DOI10.4064/CM115-1-9zbMATH Open1168.52007OpenAlexW2069908043MaRDI QIDQ5505094

Gennadiy Averkov, Horst Martini

Publication date: 23 January 2009

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm115-1-9

zbMATH Keywords

triangleareanormed spaceMinkowski spacemetric spacesimplexgeometric inequalitycomplete systems of inequalitiesSantaló diagram

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (2) dimensions (including convex curves) (52A10) Polytopes and polyhedra (52B99) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21)

Related Items (2)

Minkowski Geometry—Some Concepts and Recent Developments ⋮ ON THE EUCLIDEAN TRIANGLES WITH PRESCRIBED AREA AND PERIMETER

Recommendations

• On reduced triangles in normed planes 👍 👎
• Extremal problems on triangle areas in two and three dimensions 👍 👎
• The area of ideal triangles in Hilbert geometry 👍 👎
• Circumradius versus side lengths of triangles in linear normed spaces 👍 👎
• Unnamed Item 👍 👎
• Unnamed Item 👍 👎
• Unnamed Item 👍 👎
• Unnamed Item 👍 👎
• Unnamed Item 👍 👎

This page was built for publication: On area and side lengths of triangles in normed planes