A converse to the Jensen inequality, its matrix extensions and inequalities for minors and eigenvalues
type: Item
instance of: scholarly article
title: A converse to the Jensen inequality, its matrix extensions and inequalities for minors and eigenvalues
zbMATH Open document ID: 0971.15010
DOI: 10.1016/S0024-3795(00)00207-X
author: S. M. Malamud
published in: Linear Algebra and its Applications
publication date: 2001-10-28T00:00:00Z
review text: Several well-known inequalities for minors and eigenvalues of positive definite matrices and operators are sharpened and generalized. Among others, the author presents additive and multiplicative inequalities, converse to Jensen's, Fisher's and Hadamard's inequalities. The proofs are mainly based on exterior algebra techniques.
Mathematics Subject Classification ID: 15A42
Mathematics Subject Classification ID: 15A15
Mathematics Subject Classification ID: 15A75
zbMATH DE Number: 1559339
zbMATH Keywords: Jensen inequality
zbMATH Keywords: Kantorovich inequality
zbMATH Keywords: Fisher inequality
zbMATH Keywords: exterior algebra
zbMATH Keywords: inequalities for minors and eigenvalues
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1559339