45 citations · 78 across the 21 of their papers we have counts for
5 papers · 1 filter
Reverses of the Young inequality for matrices and operators
Mojtaba Bakherad, Mario Krnic, Mohammad Sal Moslehian
We present some reverse Young-type inequalities for the Hilbert-Schmidt norm as well as any unitarily invariant norm. Furthermore, we give some inequalities dealing with operator m…
Complementary and refined inequalities of Callebaut inequality for operators
M. Bakherad, M. S. Moslehian
The Callebaut inequality says that \begin{align*} \sum_{ j=1}^n \left(A_j\sharp B_j\right)\leq \left(\sum_{ j=1}^n A_j σB_j\right)\sharp\left(\sum_{ j=1}^n A_j σ^{\bot} B_j\right)\…
Further refinements of the Cauchy-Schwarz inequality for matrices
Mojtaba Bakherad
Let and be matrices such that are positive semidefinite. We present some refinements of the matrix Cauchy-Schwarz inequality by using some integration…
Reverses and variations of Heinz inequality
Mojtaba Bakherad, Mohammad Sal Moslehian
Let be positive definite matrices. We present several reverse Heinz type inequalities, in particular \begin{align*} \|AX+XB\|_2^2+ 2(ν-1) \|AX-XB\|_2^2\leq \|A^ν…
Chebyshev type inequalities for Hilbert space operators
Mohammad Sal Moslehian, Mojtaba Bakherad
We establish several operator extensions of the Chebyshev inequality. The main version deals with the Hadamard product of Hilbert space operators. More precisely, we prove that if…