An improved result of a weighted trigonometric inequality in acute triangles with applications

DOI10.7153/JMI-2020-14-11zbMath1440.51004OpenAlexW3011546112MaRDI QIDQ5109753

Jian Liu

Publication date: 13 May 2020

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

Full work available at URL: https://doi.org/10.7153/jmi-2020-14-11

zbMATH Keywords

Erdős-Mordell inequalityacute trianglenon-obtuse triangleWolstenholme inequality

Mathematics Subject Classification ID

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 ⋮ 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
• New refinements of the Erdös-Mordell inequality
• On the extension of the Erdös-Mordell type inequalities
• A geometric inequality with one parameter for a point in the plane of a triangle
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