New Newton-type inequality and a unified perspective on Maclaurin's inequality via the inclusion relations of cones
Year: 2026
Type: preprint
Abstract: The classical Newton-Maclaurin's inequalities for the elementary symmetric means are well known. In this paper, we derive a new class of Newton-type inequalities and generalize Maclaurin's inequality by connecting the elementary symmetric functions with their counterparts. Our idea is mainly motivated by the inclusion relations of G$\mathring{\text{a}}$rding's cones and $k$-convex cones.
Source: arXiv (Cornell University)
Authors: Cao, Ning, Hu, Xuanxuan, Jiang, Feida
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: G283934269
OpenAlex ID: W7223134386