9 citations · 23 across the 13 of their papers we have counts for
29 papers
Generalized Euclidean Operator Radius
Mohammad W. Alomari, Mohammad Sababheh, Cristian Conde +1
In this paper, we introduce the operator radius of Hilbert space operators as a generalization of the Euclidean operator radius and the operator radius. Properties of the n…
Bounding the zeros of polynomials using the Frobenius companion matrix partitioned by the Cartesian decomposition
Mohammad W. Alomari
In this work, Some new inequalities for the numerical radius of block -by- matrices are presented. As an application, bounding of zeros of polynomials using the Frobenius com…
On Cauchy-Schwarz type inequalities and applications to numerical radius inequalities
Mohammad W. Alomari
In this work, a refinement of the Cauchy--Schwarz inequality in inner product space is proved. A more general refinement of the Kato's inequality or the so called mixed Schwarz ine…
On the Davis-Wielandt radius inequalities of Hilbert space operators
Mohammad W. Alomari
In this work, some new upper and lower bounds of the Davis-Wielandt radius are introduced. Generalizations of some presented results are obtained. Some bounds of the Davis-Wielandt…
The generalized Schwarz inequality for semi-Hilbertian space operators and Some -numerical radius inequalities
Mohammad W. Alomari
In this work, the mixed Schwarz inequality for semi-Hilbertian space operators is proved. Namely, for every positive Hilbert space operator . If and are nonnegative cont…
Klein's trace inequality and superquadratic trace functions
Mohsen Kian, Mohammad W. Alomari
We show that if is a non-negative superquadratic function, then is a superquadratic function on the matrix algebra. In particular, \begin{align*} \tr…