Newton-Maclaurin type inequalities for linear combinations of elementary symmetric functions

2024/10/17 by Shuqi Hu, Changyu Ren, Hu, Shuqi +3
Mathematics · #Advanced Optimization Algorithms Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Inequalities and Applications #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.2410.13913

openalex publication_date 2024/10/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we establish Newton-Maclaurin type inequalities for functions arising from linear combinations of primitively symmetric polynomials. This generalization extends the classical Newton-Maclaurin inequality to a broader class of functions.

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