Inequalities for vertex distances of two simplices

DOI10.1016/j.jmaa.2001.11.001zbMath1063.52007OpenAlexW2046585848MaRDI QIDQ703647

Yongguo Zhou, Dong-Hua Wu, Gang Song Leng

Publication date: 11 January 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2001.11.001

zbMATH Keywords

inequalitiessimplicespolar simplexmass-point systemvertex distances

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Inequalities and extremum problems involving convexity in convex geometry (52A40)

Related Items (2)

Inequalities for the medians and vertex distances of two n-simplices with applications ⋮ Inequalities for zonotopes

Cites Work

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• About the Neuberg-Pedoe and the Oppenheim inequalities
• Inequalities for any point and two simplices
• The generalized sine theorem and inequalities for simplices
• Some inequalities involving two simplexes
• Inequalities for edge lengths and volumes of two simplexes
• Inequalities for two simplices
• The sine theorem and inequalities for volumes of simplices and determinants
• The Yang-Zhang inequality
• A generalisation to several dimensions of the Neuberg-Pedoe inequality, with applications
• Thinking Geometrically

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