Matrix inequalities and majorizations around Hermite-Hadamard's inequality
Jean-Christophe Bourin, Eun-Young Lee
TL;DR
This paper explores matrix inequalities related to the Hermite-Hadamard inequality, introducing new Schatten p-norm estimates and majorization results in the matrix setting.
Contribution
It presents novel matrix inequalities and majorization results that extend classical scalar inequalities to the matrix context.
Findings
New Schatten p-norm estimates for matrices
Novel majorization inequalities in matrix analysis
Extension of Hermite-Hadamard inequality to matrices
Abstract
We study an elementary inequality supporting the classical Hermite-Hadamard inequality in the matrix setting. This leads to a number of interesting matrix inequalities such new Schatten p-norm estimates and new majorization
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Taxonomy
TopicsMathematical Inequalities and Applications · Approximation Theory and Sequence Spaces · Holomorphic and Operator Theory