An Unexpected AGM-Type Inequality and a New Characterization of Operator Monotone Functions

Russian Mathematics 2026

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Authors: T. H. Dinh, A. T. Nguyen, D. A. N. Nguyen, H. T.L. Truong
DOI: 10.3103/s1066369x26700118
Cited by: 1
References: 18

Abstract

Abstract In this paper, we establish a new arithmetic-geometric mean type inequality for positive definite matrices. As an application, we use the new inequality to characterize operator monotone functions.

Fields of Study & Subjects

Mathematical Inequalities and Applications Analytic and geometric function theory Optimization and Variational Analysis

Publication details

Journal / source
Russian Mathematics
Publisher
Allerton Press
Volume
70
Issue
2
Pages
14–21
Publication date
1 February 2026
Language
EN