Two new weighted Erdős-Mordell type inequalities

DOI10.1007/s00454-017-9917-4zbMath1392.51007OpenAlexW2743690732MaRDI QIDQ1745205

Jian Liu

Publication date: 20 April 2018

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00454-017-9917-4

zbMATH Keywords

triangleinterior pointErdős-Mordell inequality

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Inequalities and extremum problems in real or complex geometry (51M16)

Related Items (3)

Further generalization of Walker's inequality in acute triangles and its applications ⋮ A family of weighted Erdős-Mordell inequality and applications ⋮ On the Erdös-Mordell inequality for triangles in taxicab geometry

Uses Software

• Maple

Cites Work

• Sharpened versions of the Erdős-Mordell inequality
• A refinement of an equivalent form of a Gerretsen inequality
• Refinements of the Erdös-Mordell inequality, Barrow's inequality, and Oppenheim's inequality
• Generalization of the Wolstenholme cyclic inequality and its application
• A Weighted Erdos-Mordell Inequality
• The Erdos Inequality and Other Inequalities for a Triangle
• A Short Proof of a Theorem of Erdos and Mordell
• Erdos-Mordell-Type Inequalities in a Triangle
• Vector Analysis Proof of Erdős’ Inequality for Triangles
• On the extension of the Erdös-Mordell type inequalities
• A geometric inequality with one parameter for a point in the plane of a triangle
• A Weighted Erdoes-Mordell Inequality for Polygons
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