4 papers
The Resolvent Mean and The Parametrized
Alemeh Sheikhhosseini, Eman Aldabbas, Mohammad Sababheh
Resolvent average and weighted \(\mathcal{A}\sharp \mathcal{H}\)-mean have been defined recently for positive definite matrices. Since the class of accretive matrices provides a ge…
Accretive Partial Transpose Matrices and Their Connections to Matrix Means
Eman Aldabbas, Mohammad Sababheh
Accretive partial transpose (APT) matrices have been recently defined, as a natural extension of positive partial transpose (PPT) matrices. In this paper, we discuss further proper…
On the matrix harmonic mean
Mohammad Sababheh
The main goal of this article is to present new types of inequalities refining and reversing inequalities of the harmonic mean of scalars and matrices. Furthermore, implementing th…
Convex functions and means of matrices
Mohammad Sababheh
In this article, we prove that convex functions and log-convex functions obey certain general refinements that lead to several refinements and reverses of well known inequalities f…