A generalisation to several dimensions of the Neuberg-Pedoe inequality, with applications

DOI10.1017/S0004972700025673zbMath0519.51013MaRDI QIDQ3668388

Lu Yang, Jing-Zhong Zhang

Publication date: 1983

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

zbMATH Keywords

generalizationNeuberg Pedoe inequality

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Inequalities and extremum problems involving convexity in convex geometry (52A40) Length, area and volume in real or complex geometry (51M25) Polytopes and polyhedra (52Bxx)

Related Items (10)

Inequalities for the medians and vertex distances of two n-simplices with applications ⋮ The sine theorem and inequalities for volumes of simplices and determinants ⋮ About the Neuberg-Pedoe and the Oppenheim inequalities ⋮ The Yang-Zhang inequality ⋮ Some basic inequalities in higher dimensional non-Euclid space ⋮ Inequalities for medians of two simplices ⋮ Inequalities for vertex distances of two simplices ⋮ Inequalities for volumes and medians of two simplexes ⋮ Inequalities for two simplices ⋮ Inequalities for any point and two simplices

Cites Work

• Einige Relationen im Dreieck
• Two Notes on Metric Geometry
• New Foundation of Euclidean Geometry
• Thinking Geometrically
• An Inequality Involving the Area of Two Triangles

This page was built for publication: A generalisation to several dimensions of the Neuberg-Pedoe inequality, with applications