Sharpened versions of the Erdős-Mordell inequality

DOI10.1186/s13660-015-0716-2zbMath1335.51025OpenAlexW1929557978WikidataQ59435041 ScholiaQ59435041MaRDI QIDQ259873

Jian Liu

Publication date: 18 March 2016

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

Full work available at URL: https://doi.org/10.1186/s13660-015-0716-2

zbMATH Keywords

triangleinterior pointErdős-Mordell inequalityWalker's inequality

Mathematics Subject Classification ID

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

Related Items (8)

Further generalization of Walker's inequality in acute triangles and its applications ⋮ New refinements of the Erdös-Mordell inequality ⋮ A family of weighted Erdős-Mordell inequality and applications ⋮ An improved result of a weighted trigonometric inequality in acute triangles with applications ⋮ Refinements of the Erdös-Mordell inequality, Barrow's inequality, and Oppenheim's inequality ⋮ Two new weighted Erdős-Mordell type inequalities ⋮ On the Erdös-Mordell inequality for triangles in taxicab geometry ⋮ Proof of a double inequality in triangles

Cites Work

• Generalization of the Wolstenholme cyclic inequality and its application
• The Erdős-Mordell inequality is equivalent to non-positive curvature
• The Erdos Inequality and Other Inequalities for a Triangle
• Reverse inequalities of Erdös-Mordell type
• A Short Proof of a Theorem of Erdos and Mordell
• 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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