Generalized Choi-Davis-Jensen's Operator Inequalities and Their Applications
arxiv(2024)
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.
MoreTranslated text
AI Read Science
Must-Reading Tree
Example
![](https://originalfileserver.aminer.cn/sys/aminer/pubs/mrt_preview.jpeg)
Generate MRT to find the research sequence of this paper
Chat Paper
Summary is being generated by the instructions you defined