A new improvement of the Reciprocal Erdős–Mordell inequality

The Reciprocal Erdős–Mordell inequality is an equivalent formulation of the famous Erdős–Mordell inequality in a triangle. In this paper, we present a new improvement of the Reciprocal Erdős–Mordell inequality, which can also be regarded as a novel approach to proving the classical Erdős–Mordell inequality.

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Publication Details

Journal
The Mathematical Gazette
Published
2026-06-24
DOI
https://doi.org/10.1080/00255572.2026.2671858
Primary Topic
Mathematics and Applications
Type
article
Field-Weighted Citation Impact
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article

A new improvement of the Reciprocal Erdős–Mordell inequality

Quang Hung Tran
The Mathematical Gazette
Mathematics and Applications
article

A new improvement of the Reciprocal Erdős–Mordell inequality

Quang Hung Tran
article en

Abstract

The Reciprocal Erdős–Mordell inequality is an equivalent formulation of the famous Erdős–Mordell inequality in a triangle. In this paper, we present a new improvement of the Reciprocal Erdős–Mordell inequality, which can also be regarded as a novel approach to proving the classical Erdős–Mordell inequality.

The Mathematical Gazette
Vietnam National University Ho Chi Minh City (VN)
Reduced inequalities
Openalex Percentile: Top 4%
Mathematics and Applications
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