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math.FA2019
On the Operator Jensen Inequality for Convex Functions
M. Shah Hosseini, H. R. Moradi, B. Moosavi
This paper is mainly devoted to studying operator Jensen inequality. More precisely, a new generalization of Jensen inequality and its reverse version for convex (not necessary ope…
math.FA2018
An Alternative Estimate for the Numerical Radius of Hilbert Space Operators
M. Shah Hosseini, B. Moosavi, H. R. Moradi
We give an alternative lower bound for the numerical radii of Hilbert space operators. As a by-product, we find conditions such that \begin{equation*} ω\left(\left[\begin{array}{cc…