Work

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

Year: 2025

Type: article

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.

Source: Proceedings of the Royal Society of Edinburgh Section A Mathematics

DOI: 10.1017/prm.2025.26

Authors: Shuqi Hu, Changyu Ren, Ziyi Wang

Institution: Jilin University

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Natural Science Foundation of China

Award: Hessian加法方程及相关加法曲率方程的研究