A sharper bound for the Jensen's operator inequality
Hamid Reza Moradi, Shigeru Furuichi, Mohammed Sababheh
TL;DR
This paper improves the operator version of Jensen's inequality, providing tighter bounds and enhancements for related inequalities like Ando's and H"older's, advancing mathematical understanding in operator theory.
Contribution
It introduces a sharper bound for Jensen's operator inequality and improves related inequalities such as Ando's and H"older's.
Findings
Established a tighter bound for Jensen's operator inequality
Provided an improved version of Ando's inequality
Derived a tight bound for the operator H"older inequality
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 H\"older inequality.
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Taxonomy
TopicsMathematical Inequalities and Applications · Analytic and geometric function theory · Mathematics and Applications