On the Erdös-Mordell inequality for triangles in taxicab geometry

DOI10.7153/jmi-2020-14-84zbMath1462.51013arXiv1901.08758OpenAlexW3113881019MaRDI QIDQ5858280

Maja Petrović, Bojan Banjac, Branko J. Malešević

Publication date: 12 April 2021

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.08758

zbMATH Keywords

Erdős-Mordell inequalitytaxicab geometry

Mathematics Subject Classification ID

General theory of distance geometry (51K05) Inequalities and extremum problems in real or complex geometry (51M16)

Related Items (2)

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Cites Work

• Sharpened versions of the Erdős-Mordell inequality
• Refinements of the Erdös-Mordell inequality, Barrow's inequality, and Oppenheim's inequality
• Two new weighted Erdős-Mordell type inequalities
• The Erdős-Mordell inequality is equivalent to non-positive curvature
• On the Erdős-Mordell inequality for normed planes and spaces
• New refinements of the Erdös-Mordell inequality
• On the distance formulae in the generalized taxicab geometry
• On the extension of the Erdös-Mordell type inequalities
• Isoperimetric inequality in taxicab geometry
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