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arXiv · 2105.07885

A family of weighted Erd\H{o}s-Mordell inequality and applications

Tran Quang Hung
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Abstract

We establish some new generalizations of Erd\H{o}s-Mordell inequality by adding weights to its terms. Using these generalizations, we derived strengthened versions of the original Erd\H{o}s-Mordell inequality. We also found two other variations of Erd\H{o}s-Mordell inequality to be generalizable in the same way.

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Tran Quang Hung. 2021-05-13. A family of weighted Erd\H{o}s-Mordell inequality and applications. https://arxiv.org/abs/2105.07885

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