14 papers
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…
On a binary operation for positive operators
Shigeru Furuichi, Hamid Reza Moradi, Cristian Conde +1
M. Lin defined a binary operation for two positive semi-definite matrices in studying certain determinantal inequalities that arise from diffusion tensor imaging. This operation en…
Operator inequalities via accretive transforms
Mohammad Sababheh, Ibrahim Halil Gümüş, Hamid Reza Moradi
In this article, we employ certain properties of the transform to obtain new inequalities for the bounded linear operator on a complex Hilbert space…
Operator Spectral Geometric Versus Geometric Mean
Hamid Reza Moradi, Shigeru Furuichi, Mohammad Sababheh
The main goal of this article is to present new inequalities for the spectral geometric mean of two positive definite operators on a Hilbert space. The obtai…
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…
Ando-Hiai and Golden-Thomspon inequalities
M. Sababheh, H. R. Moradi
The original Ando-Hiai and Golden-Thompson inequalities present comparisons for the operator geometric mean when Our main target in this article is to s…
From positive to accretive matrices
Yassine Bedrani, Fuad Kittaneh, Mohammed Sababheh
The main goal of this paper is to discuss the recent advancements of operator means for accretive matrices in a more general setting. In particular, we present the general form gov…
On The Operator Hermite--Hadamard Inequality
Hamid Reza Moradi, Mohammad Sababheh, Shigeru Furuichi
The main target of this paper is to discuss operator Hermite--Hadamard inequality for convex functions, without appealing to operator convexity. Several forms of this inequality wi…
More accurate numerical radius inequalities (II)
Hamid Reza moradi, Mohammad Sababheh
In a recent work of the authors, we showed some general inequalities governing numerical radius inequalities using convex functions. In this article, we present results that comple…
More accurate numerical radius inequalities
Mohammad Sababheh, Hamid Reza Moradi
In this article, we present some new general forms of numerical radius inequalities for Hilbert space operators. The significance of these inequalities follow from the way they ext…