Newton–Maclaurin type inequalities for linear combinations of elementary symmetric functions
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.
Authors
- Changyu Ren (ORCID: https://orcid.org/0000-0002-9109-8909)
- Shuqi Hu
- Ziyi Wang (ORCID: https://orcid.org/0009-0006-2116-3986)
Institutions
- Jilin University (CN)
- Jilin Province Science and Technology Department (CN)
Publication Details
- Journal
- Proceedings of the Royal Society of Edinburgh Section A Mathematics
- Published
- 2025-04-02
- DOI
- https://doi.org/10.1017/prm.2025.26
- Primary Topic
- Mathematical Inequalities and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00