On the operator Aczél inequality and its reverse

2020/01/15 by Shigeru Furuichi, Furuichi, Shigeru, M. R. Jabbarzadeh +3
Mathematics · #15A60 #26D15 #FOS: Mathematics #Functional Analysis (math.FA) #Functional Equations Stability Results #Mathematical Inequalities and Applications #Mathematics and Applications #Primary 47A63 #secondary 47A64

paper · pdf · doi:10.48550/arxiv.2001.05088

openalex publication_date 2020/01/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we present some operator and eigenvalue inequalities involving operator monotone, doubly concave and doubly convex functions. These inequalities provide some variants of operator Aczél inequality and its reverse via generalized Kantorovich constant.

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