Developed Matrix inequalities via Positive Multilinear Mappings
Mahdi Dehghani, Mohsen Kian, Yuki Seo
TL;DR
This paper introduces new matrix inequalities derived from positive multilinear mappings, expanding classical inequalities like Jensen and Kantorovich to a broader multilinear context.
Contribution
It extends existing matrix inequalities by incorporating positive multilinear mappings, providing new theoretical tools in matrix analysis.
Findings
Derived new matrix inequalities using positive multilinear mappings
Extended Jensen and Kantorovich inequalities to multilinear settings
Provided theoretical framework for future research in matrix inequalities
Abstract
Utilizing the notion of positive multilinear mappings, we give some matrix inequalities. In particular, Choi--Davis--Jensen and Kantorovich type inequalities including positive multilinear mappings are presented.
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