Details

Autor(en) / Beteiligte

• Tran, Quang Hung

Titel

A family of weighted Erdös–Mordell inequality and applications

Ist Teil von

• Journal of geometry, 2021-12, Vol.112 (3), Article 33

Ort / Verlag

Cham: Springer International Publishing

Erscheinungsjahr

2021

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• We establish a new generalization of the Erdös–Mordell inequality by adding more a set of weights to its terms. The same method is used on two other variants of the Erdös–Mordell inequality which are Barrow’s inequality and Dao–Nguyen–Pham’s inequality. Using these generalizations, we derived some strengthened versions of the original Erdös–Mordell inequality and its variations.