%0 Journal Article %T Hermitian operators and convex functions %A Jean-Christophe Bourin %J Mathematics %D 2006 %I arXiv %X Several inequalities for eigenvalues involving convex combinations and compressions are given. These inequalities are matrix version of the basic convexity inequality f((a+b)/2) < (f(a)+f(b))/2. %U http://arxiv.org/abs/math/0601318v2