1 citations · 1 across the 3 of their papers we have counts for
4 papers
Revisiting the Grüss Inequality
H. R. Moradi, S. Furuichi, Z. Heydarbeygi +1
In this article, we explore the celebrated Grüss inequality, where we present a new approach using the Grüss inequality to obtain new refinements of operator means inequalities. We…
A sharper bound for the Jensen's operator inequality
Hamid Reza Moradi, Shigeru Furuichi, Mohammed Sababheh
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. Additiona…
New inequalities for the generalized Karcher mean
Mohammed Sababheh, Hamid Reza Moradi, Zahra Heydarbeygi
Recently, Pálfia introduced a generalized Karcher mean as a solution of an operator equation. In this article, we present several relations for this new mean. In particular, we inv…
On the Operator Jensen-Mercer Inequality
H. R. Moradi, S. Furuichi, M. Sababheh
Mercer inequality for convex functions is a variant of Jensen's inequality, with an operator version that is still valid without operator convexity. This paper is two folded. First…