REVIEW 1 cited by
Generalized Choi-Davis-Jensen's Operator Inequalities and Their Applications
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
read the original 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.
Forward citations
Cited by 1 Pith paper
-
Matrix Ordering through Spectral and Nilpotent Structures in Totally Ordered Complex Number Fields
The paper defines a lexicographic total order on complex numbers and a Spectral and Nilpotent Ordering (SNO) for arbitrary matrices, claiming to extend majorization, Schur-Ostrowski, and operator convexity results to ...
Discussion (0). Continue with ORCID to comment.