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A sharper bound for the Jensen's operator inequality

2018/06/26 by Hamid Reza Moradi, Moradi, Hamid Reza, Shigeru Furuichi +3
Mathematics · #15A60 #Analytic and geometric function theory #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Inequalities and Applications #Mathematics and Applications #Primary 47A63 #Secondary 26D15

paper · pdf · doi:10.48550/arxiv.1806.09831

openalex publication_date 2018/06/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The primary goal of this paper is to improve the operator version of Jensen inequality. As an application, we provide an improvement for the celebrated Ando's inequality. Additionally, we give a tight bound for the operator Hölder inequality.

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