TY - JOUR T1 - A Generalized Singular Value Inequality for Heinz Means TT - JF - IJMSI JO - IJMSI VL - 10 IS - 2 UR - http://ijmsi.ir/article-1-464-en.html Y1 - 2015 SP - 23 EP - 27 KW - Matrix monotone functions KW - Numerical radius KW - Singular values KW - Unitarily invariant norms. N2 - In this paper we will generalize a singular value inequality that was proved before. In particular we obtain an inequality for numerical radius as follows: begin{equation*} 2 sqrt{t (1-t)} omega(t A^{nu}B^{1-nu}+(1-t)A^{1-nu}B^{nu}) leq omega(t A + (1- t) B), end{equation*} where, $ A $ and $ B $ are positive semidefinite matrices, $ 0 leq t leq 1 $ and $ 0 leq nu leq frac{3}{2}.$ M3 10.7508/ijmsi.2015.02.003 ER -