Revisiting the Gr\"uss Inequality
H. R. Moradi, S. Furuichi, Z. Heydarbeygi, M. Sababheh
TL;DR
This paper revisits the Gr"uss inequality, introducing new refinements for operator means inequalities and deriving several Gr"uss-type inequalities with applications to numerical radius and entropies.
Contribution
It presents a novel approach to refine operator means inequalities using the Gr"uss inequality and introduces new Gr"uss-type inequalities with practical applications.
Findings
Refined operator means inequalities using Gr"uss inequality
New Gr"uss-type inequalities for numerical radius and entropies
Applications demonstrated in operator theory contexts
Abstract
In this article, we explore the celebrated Gr\"{u}ss inequality, where we present a new approach using the Gr\"{u}ss inequality to obtain new refinements of operator means inequalities. We also present several operator Gr\"{u}ss-type inequalities with applications to the numerical radius and entropies.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMathematical Inequalities and Applications · Functional Equations Stability Results · Mathematics and Applications