45 citations · 78 across the 21 of their papers we have counts for
29 papers
Some extensions of Berezin number inequalities on operators
Mojtaba Bakherad, Monire Hajmohamadi, Rahmatollah Lashkaripour +1
In this paper, we establish some upper bounds for Berezin number inequalities including of operator matrices and their off-diagonal parts. Among other inequalities, it…
Further norm and numerical radius inequalities for sum of Hilbert space operators
Davood Afraza, Ramatollah Lashkaripoura, Mojtaba Bakherad
Let denote the set of all bounded linear operators on a complex Hilbert space . In this paper, we present some norm inequalities for sums of…
Complete refinements of the Berezin number inequalities
M. Bakherad, R. Lashkaripour, M. Hajmohamadi +1
In this paper, several refinements of the Berezin number inequalities are obtained. We generalize inequalities involving powers of the Berezin number for product of two operators a…
Noncommutative Chebyshev inequality involving the Hadamard product
Mojtaba Bakherad, Silvestru Sever Dragomir
We present several operator extensions of the Chebyshev inequality for Hilbert space operators. The main version deals with the synchronous Hadamard property for Hilbert space oper…
Reverses of Ando's and Hölder-Macarty's inequalities
M. Hajmohamadi, R. Lashkaripour, M. Bakherad
In this paper, we give some reverse-types of Ando's and Hölder-McCarthy's inequalities for positive linear maps, and positive invertible operators. For our purpose, we use a recent…
Further refinements of generalized numerical radius inequalities for Hilbert space operators
Monire Hajmohamadi, Rahmatollah Lashkaripour, Mojtaba Bakherad
In this paper, we show some refinements of generalized numerical radius inequalities involving the Young and Heinz inequalities. In particular, we present \begin{align*} w_{p}^{p}(…
Improvements of Berezin number inequalities
Monire Hajmohamadi, Rahmatollah Lashkaripour, Mojtaba Bakherad
In this paper, we generalize several Berezin number inequalities involving product of operators. For instance, we show that if are positive operators and is any operator…
Interpolating operator Jensen-type inequalities for log-convex and superquadratic functions
Mojtaba Bakherad, Mohsen Kian, Mario Krnic +1
Motivated by some recently established operator Jensen-type inequalities related to a usual convexity, in the present paper we derive several more accurate operator Jensen-type ine…
Berezin number inequalities for Hilbert space operators
Mojtaba Bakherad, Mubariz T. Karaev
In this paper, by using of the definition Berezin symbol, we show some Berezin number inequalities. Among other inequalities, it is shown that if $A, B, X\in{\mathbb{B}}(\mathscr H…
Some Berezin number inequalities for operator matrices
Mojtaba Bakherad
The Berezin symbol of an operator acting on the reproducing kernel Hilbert space over some (non-empty) set is defined by $\wideti…
Some generalized numerical radius inequalities involving Kwong functions
Mojtaba Bakherad
We prove several numerical radius inequalities involving positive semidefinite matrices via the Hadamard product and Kwong functions. Among other inequalities, it is shown that if…
Unitarily invariant norm inequalities involving operators
Mojtaba Bakherad
In this paper, we present some upper bounds for unitarily invariant norms inequalities. Among other inequalities, we show some upper bounds for the Hilbert-Schmidt norm. In particu…
Improvements of some operator inequalities involving positive linear maps via the Kantorovich constant
Leila Nasiri, Mojtaba Bakherad
We present some operator inequalities for positive linear maps that generalize and improve the derived results in some recent years. For instant, if and are positive operat…
Some generalizations of the Aluthge transform of operators
Mojtaba Bakherad, Khalid Shebrawi
Let be the polar decomposition of . The Aluthge transform of the operator , denoted by , is defined as $\tilde{A} =|A|^{\frac{1}{2}} U |A|^{\frac{1}{2}…
Numerical radius inequalities involving commutators of operators
Mojtaba Bakherad, Fuad Kittaneh
We prove numerical radius inequalities involving commutators of operators and certain analytic functions. Among other inequalities, it is shown that if and are boun…
Extensions of interpolation between the arithmetic-geometric mean inequality for matrices
Mojtaba Bakherad, Rahmatollah Lashkaripour, Monire Hajmohamadi
In this paper, we present some extensions of interpolation between the arithmetic-geometric means inequality. Among other inequalities, it is shown that if are $n\times n…
Some generalizations of numerical radius on off-diagonal part of operator matrices
Monire Hajmohamadi, Rahmatollah Lashkaripour, Mojtaba Bakherad
We generalize several inequalities involving powers of the numerical radius for off-diagonal part of operator matrices of the form $T=\left[\begin{array}{cc} 0&B, C&0 \e…
Upper bounds for numerical radius inequalities involving off-diagonal operator matrices
Mojtaba Bakherad, Khalid Shebrawi
In this paper, we establish some upper bounds for numerical radius inequalities including of operator matrices and their off-diagonal parts. Among other inequalities, i…
Some extensions of the Young and Heinz inequalities for Matrices
Monire Hajmohamadi, Rahmatollah Lashkaripour, Mojtaba Bakherad
In this paper, we present some extensions of the Young and Heinz inequalities for the Hilbert-Schmidt norm as well as any unitarily invariant norm. Furthermore, we give some inequa…
Some extensions of the operator entropy type inequalities
Mojtaba Bakherad, Ali Morassaei
In this paper, we establish some reverses of the operator entropy inequalities under certain conditions by using the Mond-Pečarić method. In particular, we present {\tiny \begin{al…
Some inequalities of matrix power and Karcher means for positive linear maps
Rahmatollah Lashkaripour, Monire Hajmohamadi, Mojtaba Bakherad
In this paper, we generalize some matrix inequalities involving matrix power and Karcher means of positive definite matrices. Among other inequalities, it is shown that if ${\mathb…
Some reversed and refined Callebaut inequalities via Kontorovich constant
Mojtaba Bakherad
In this paper we employ some operator techniques to establish some refinements and reverses of the Callebaut inequality involving the geometric mean and Hadamard product under some…
Refinements of a reversed AM-GM operator inequality
Mojtaba Bakherad
We prove some refinements of a reverse AM-GM operator inequality due to M. Lin [Studia Math. 2013;215:187-194]. In particular, we show the operator inequality \begin{eqnarray*} Φ^p…
Some operator Bellman type inequalities
Mojtaba Bakherad, Ali Morassaei
In this paper, we employ the Mond--Pečarić method to establish some reverses of the operator Bellman inequality under certain conditions. In particular, we show \begin{equation*} δ…