11 papers · 1 filter
The numerical radius of fractional powers of matrices
Eman Aldabbas, Mohammad Sababheh
Using integral representations of the fractional power of matrices, and the geometric intuition of sectorial matrices, we show that for any accretive-dissipative matrix and any…
Some Operator Inequalities via Convexity
Hamid Reza Moradi, Shigeru Furuichi, Mohammad Sababheh
In this article, we employ a standard convex argument to obtain new and refined inequalities related to the matrix mean of two accretive matrices, the numerical radius and the Tsal…
Weighted Inequalities For The Numerical Radius
Shiva Sheybani, Mohammed Sababheh, Hamid Reza Moradi
In this article, we obtain several new weighted bounds for the numerical radius of a Hilbert space operator. The significance of the obtained results is the way they generalize man…
Radical Convex Functions
Mohammad Sababheh, Hamid Reza Moradi
In this article, we further explore convex functions by revealing new bounds, resulting from stronger convexity behavior. In particular, we define the so called radical convex func…
Numerical radii of accretive matrices
Yassine Bedrani, Fuad Kittaneh, Mohammed Sababheh
The numerical radius of a matrix is a scalar quantity that has many applications in the study of matrix analysis. Due to the difficulty in computing the numerical radius, inequalit…
On the weighted Geometric mean of accretive matrices
Yassine Bedrani, Fuad Kittaneh, Mohammed Sababheh
In this paper, we discuss new inequalities for accretive matrices through non standard domains. In particular, we present several relations for and , when a…