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Some extensions of Berezin number inequalities on operators
Mojtaba Bakherad, Monire Hajmohamadi, Rahmatollah Lashkaripour +1
In this paper, we establish some upper bounds for Berezin number inequalities including of operator matrices and their off-diagonal parts. Among other inequalities, it…
Complete refinements of the Berezin number inequalities
M. Bakherad, R. Lashkaripour, M. Hajmohamadi +1
In this paper, several refinements of the Berezin number inequalities are obtained. We generalize inequalities involving powers of the Berezin number for product of two operators a…
Reverses of Ando's and Hölder-Macarty's inequalities
M. Hajmohamadi, R. Lashkaripour, M. Bakherad
In this paper, we give some reverse-types of Ando's and Hölder-McCarthy's inequalities for positive linear maps, and positive invertible operators. For our purpose, we use a recent…
Further refinements of generalized numerical radius inequalities for Hilbert space operators
Monire Hajmohamadi, Rahmatollah Lashkaripour, Mojtaba Bakherad
In this paper, we show some refinements of generalized numerical radius inequalities involving the Young and Heinz inequalities. In particular, we present \begin{align*} w_{p}^{p}(…
Improvements of Berezin number inequalities
Monire Hajmohamadi, Rahmatollah Lashkaripour, Mojtaba Bakherad
In this paper, we generalize several Berezin number inequalities involving product of operators. For instance, we show that if are positive operators and is any operator…
Extensions of interpolation between the arithmetic-geometric mean inequality for matrices
Mojtaba Bakherad, Rahmatollah Lashkaripour, Monire Hajmohamadi
In this paper, we present some extensions of interpolation between the arithmetic-geometric means inequality. Among other inequalities, it is shown that if are $n\times n…