New refinements of the Erdös-Mordell inequality

DOI10.7153/jmi-2018-12-05zbMath1396.51009OpenAlexW2793038707MaRDI QIDQ4565869

Jian Liu

Publication date: 13 June 2018

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

Full work available at URL: https://doi.org/10.7153/jmi-2018-12-05

zbMATH Keywords

triangleinterior pointErdős-Mordell inequality

Mathematics Subject Classification ID

Inequalities and extremum problems in real or complex geometry (51M16)

Related Items (4)

A family of weighted Erdős-Mordell inequality and applications ⋮ An improved result of a weighted trigonometric inequality in acute triangles with applications ⋮ On the Erdös-Mordell inequality for triangles in taxicab geometry ⋮ Proof of a double inequality in triangles

Cites Work

• Sharpened versions of the Erdős-Mordell inequality
• Refinements of the Erdös-Mordell inequality, Barrow's inequality, and Oppenheim's inequality
• Generalization of the Wolstenholme cyclic inequality and its application
• The Erdos Inequality and Other Inequalities for a Triangle
• A Short Proof of a Theorem of Erdos and Mordell
• A Short Proof of the Erdos-Mordell Theorem
• Erdos-Mordell-Type Inequalities in a Triangle
• A trigonometric inequality and its geometric applications
• Vector Analysis Proof of Erdős’ Inequality for Triangles
• On the extension of the Erdös-Mordell type inequalities
• A Weighted Erdoes-Mordell Inequality for Polygons
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