Generalized Choi-Davis-Jensen's Operator Inequalities and Their Applications
Operator Algebras
2024-03-11 v1 Mathematical Physics
math.MP
Abstract
The original Choi-Davis-Jensen's inequality, with its wide-ranging applications in diverse scientific and engineering fields, has motivated researchers to explore generalizations. In this study, we extend Davis-Choi-Jensen's inequality by considering a nonlinear map instead of a normalized linear map and generalize operator convex function to any continuous function defined in a compact region. The Stone-Weierstrass theorem and Kantorovich function are instrumental in formulating and proving generalized Choi-Davis-Jensen's inequalities. Additionally, we present an application of this generalized inequality in the context of statistical physics.
Keywords
Cite
@article{arxiv.2403.04892,
title = {Generalized Choi-Davis-Jensen's Operator Inequalities and Their Applications},
author = {Shih Yu Chang and Yimin Wei},
journal= {arXiv preprint arXiv:2403.04892},
year = {2024}
}