Geometric Newton inequalities

Ni, James

doi:10.1090/proc/15372

Geometric Newton inequalities
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by James M. Ni PDF

Proc. Amer. Math. Soc. 149 (2021), 2609-2623 Request permission

Abstract:

In this article, we take a geometric approach to extend Newton’s well-known inequalities. A family of inequalities, which are invariant under affine transformations, is proposed for parallelotopes. We prove some of them and show the connections they have with matrix inequalities, convex geometry, and geometric inequalities.

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