en تخصصي Special پژوهشي Research paper <p dir="ltr">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}.$</p> Matrix monotone functions, Numerical radius, Singular values, Unitarily invariant norms. 23 27 http://ijmsi.ir/browse.php?a_code=A-10-516-1&slc_lang=en&sid=1 A. Sheikh Hosseini alemehsheikhhoseiny@yahoo.com 10031947532846006220 10031947532846006220 Yes Shahid Bahonar univercity