A Generalization of an Inequality for Moving Points in a Triangle
Shanpeng Zeng, Jing Liu, Xuezhi Yang
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Source: Crossref
Published: Sep 15, 2026
DOI: 10.51846/jnhm.v2i2.5387
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In 1935, the mathematician Paul Erd¨os proposed Problem3746 in the American Mathematical Monthly, which is a linear inequalityconcerning a moving point inside a triangle. Based on this problem, wefirst generalize the inequality to a higher-degree form, and then furtherextend it to the case of multiple moving points. This yields a dualgeneralization in both the degree and the number of moving points.
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