Some Refinements of the Tensorial Inequalities in Hilbert Spaces

V Stojiljković, R Ramaswamy, OAA Abdelnaby… - Symmetry, 2023 - mdpi.com
Hermite–Hadamard inequalities and their refinements have been investigated for a long
period of time. In this paper, we obtained refinements of the Hermite–Hadamard inequality of …

Norm and Numerical Radius Inequalities for Sums of Power Series of Operators in Hilbert Spaces

N Altwaijry, SS Dragomir, K Feki - Axioms, 2024 - mdpi.com
The main focus of this paper is on establishing inequalities for the norm and numerical
radius of various operators applied to a power series with the complex coefficients h (λ)=∑ …

[PDF][PDF] Berezin Radius Inequalities and Extensions of the Dragomir-Furuta Inequality

G Mehmet, O Yücel - Theory and Applications of Mathematics & …, 2022 - researchgate.net
The Berezin transform A and the Berezin radius of an operator A on the reproducing kernel
Hilbert space over some set Ω with normalized reproducing kernel̂kλ are defined …

On Some Inequalities for the Generalized Euclidean Operator Radius

MW Alomari, G Bercu, C Chesneau, H Alaqad - Axioms, 2023 - mdpi.com
In the literature, there are many criteria to generalize the concept of a numerical radius; one
of the most recent and interesting generalizations is the so-called generalized Euclidean …