25 citations · 49 across the 4 of their papers we have counts for
7 papers
Some refinements of numerical radius inequalities
Zahra Heydarbeygi, Maryam Amyari, Mahnaz Khanehgir
In this paper, we give some refinements for the second inequality in , where . In particular, if is hyponormal by refining the…
Buzano, Kreĭn and Cauchy-Schwarz inequalities
Mohammad Sababheh, Hamid Reza Moradi, Zahra Heydarbeygi
The Cauchy-Schwarz, Buzano and Kre\uın inequalities are three inequalities about inner product. The main goal of this article is to present refinements of Buzano and Cauchy-Schwarz…
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 convex treatment of numerical radius inequalities
Zahra Heydarbeygi, Mohammad Sababheh, Hamid Reza Moradi
In this article, we prove an inner product inequality for Hilbert space operators. This inequality, then, is utilized to present a general numerical radius inequality using convex…
Subadditive inequalities for operators
Hamid Reza Moradi, Zahra Heydarbeygi, Mohammad Sababheh
In this article, we present a new subadditivity behavior of convex and concave functions, when applied to Hilbert space operators. For example, under suitable assumptions on the sp…
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…
A glimpse at the operator Kantorovich inequality
H. R. Moradi, I. H. Gümüş, Z. Heydarbeygi
We show the following result: Let be a positive operator satisfying for some scalars with and $Φ…