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Geometric Newton inequalities.

Authors :
Ni, James M.
Source :
Proceedings of the American Mathematical Society; Jun2021, Vol. 149 Issue 6, p2609-2623, 15p
Publication Year :
2021

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00029939
Volume :
149
Issue :
6
Database :
Complementary Index
Journal :
Proceedings of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
149946471
Full Text :
https://doi.org/10.1090/proc/15372