New concavity and convexity results for symmetric polynomials and their ratios

DOI10.1080/03081087.2018.1527891zbMath1459.26027arXiv1803.10141OpenAlexW2964019961WikidataQ114641379 ScholiaQ114641379MaRDI QIDQ5145554

Suvrit Sra

Publication date: 21 January 2021

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.10141

zbMATH Keywords

concavitysymmetric polynomialsDresher inequalityMarcus-Lopes inequalityMuir inequality

Mathematics Subject Classification ID

Miscellaneous inequalities involving matrices (15A45) Convexity of real functions of several variables, generalizations (26B25) Inequalities for trigonometric functions and polynomials (26D05)

Related Items (3)

Norms on complex matrices induced by complete homogeneous symmetric polynomials ⋮ Some New Methods for Generating Convex Functions ⋮ New applications to invariant matrix norms and combinatorics of an integral representation of natural powers of the numerical values

Cites Work

• Symmetric function means of positive operators
• Moment spaces and inequalities
• Inequalities for Symmetric Functions and Hermitian Matrices
• On four Inequalities in Symmetric Functions
• Symmetric Means and Matrix Inequalities
• Inequalities concerning the inverses of positive definite matrices
• Two inequalities for the complete symmetric functions
• Dresher's Inequality

This page was built for publication: New concavity and convexity results for symmetric polynomials and their ratios