Young's inequality, positive operators, weighted means, Hilbert-Schmidt norm
In this note, some refinements of Young's inequality and its reverse for positive numbers are proved, and using these inequalities, some operator versions and Hilbert-Schmidt norm versions for matrices of these inequalities are obtained.
Sheikhhosseini, Alemeh and Khosravi, Maryam.
"On a Refined Operator Version of Young's Inequality and Its Reverse",
Electronic Journal of Linear Algebra,
Volume 35, pp. 441-448.