28 citations · 34 across the 7 of their papers we have counts for
7 papers · 1 filter
Matrix Inequalities between and
Manisha Devi, Jaspal Singh Aujla, Mohsen Kian +1
Let and be positive definite complex matrices, let be a matrix mean, and let be a differentiable convex function with $f(0)=…
A New Class of Operator Monotone Functions via Operator Means
R. Pal, M. Singh, M. S. Moslehian +1
In this paper, we obtain a new class of functions, which is developed via the Hermite--Hadamard inequality for convex functions. The well-known one-one correspondence between the c…
A General Double Inequality Related to Operator Means and Positive Linear Maps
R. Kaur, M. Singh, J. S. Aujla +1
Let be such that and for some scalars and $Φ:\mathbb{B}(\ma…
Non-commutative Callebaut inequality
M. S. Moslehian, J. S. Matharu, J. S. Aujla
We present an operator version of the Callebaut inequality involving the interpolation paths and apply it to the weighted operator geometric means. We also establish a matrix versi…
Eigenvalue extensions of Bohr's inequality
Jagjit Singh Matharu, Mohammad Sal Moslehian, Jaspal Singh Aujla
We present a weak majorization inequality and apply it to prove eigenvalue and unitarily invariant norm extensions of a version of the Bohr's inequality due to Vasić and Kečkić.
On norm sub-additivity and super-additivity inequalities for concave and convex functions
Koenraad M. R. Audenaert, Jaspal Singh Aujla
Sub-additive and super-additive inequalities for concave and convex functions have been generalized to the case of matrices by several authors over a period of time. These lead to…
On Ando's inequalities for convex and concave functions
Koenraad M. R. Audenaert, Jaspal Singh Aujla
For positive semidefinite matrices and , Ando and Zhan proved the inequalities and , for any uni…