A remark on some inequalities for positive linear maps

Subject Areas : Linear and multilinear algebra; matrix theory

I. Nikoufar ¹ , M. Asadi ²

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Received: 2024-04-04 Accepted : 2024-08-06 Published : 2024-08-10

Keywords: Convex function, $s$-convex function, matrix $s$-convex function, $P$-class function, Jensen's inequality,

Abstract :

The objective of this paper is to reveal that an analogue of Jensen's inequality holds for positive unital linear maps and matrix $s$-convex functions. We prove that the restriction to the matrix $s$-convex functions is not necessary in the case of $2 \times 2$ matrices in some sense.

 

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