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math.FA2021
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…
math.FA2021
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…
math.FA2021
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…