A refinement of an equivalent form of a Gerretsen inequality

DOI10.1007/S00022-015-0275-1zbMath1329.51016OpenAlexW2211789173MaRDI QIDQ895725

Jian Liu

Publication date: 4 December 2015

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-015-0275-1

zbMATH Keywords

interior pointErdős-Mordell inequalitytriangle inequalitiesGerretsen inequalitysymmedian

Mathematics Subject Classification ID

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

Related Items (3)

Refinements of the Erdös-Mordell inequality, Barrow's inequality, and Oppenheim's inequality ⋮ Two new weighted Erdős-Mordell type inequalities ⋮ On the fundamental triangle inequality and Gerretsen's double inequality

Uses Software

• Maple

Cites Work

• Infinitely many Gerretsen-Blundon style quadratic inequalities, all strongest in Blundon's sense
• On best quadratic triangle inequalities
• The Erdős-Mordell inequality is equivalent to non-positive curvature
• Inequalities concerning the inradius and circumradius of a triangle
• A geometric proof of Blundon's inequalities
• Reverse inequalities of Erdös-Mordell type
• General power inequalities between the sides and the circumscribed and inscribed radii related to the fundamental triangle inequality
• Refined geometric inequalities between two or more triangles obtained by dedublation
• Inequalities Associated with the Triangle
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