Functional inequalities for max eigenvalues of nonnegative matrices Original Research Article

Let image denote the set of all n×n nonnegative matrices. For a function image and matrices image, k=1,…,m, defineimageFor each image we denote its spectral radius by ρ(A) and its max eigenvalue by μ(A). In a previous paper, all functions f which satisfyimageand some functions which satisfyimagewere characterized. Here, for an interval image in image, we characterize those functions f satisfyingimageas well as the functions satisfying f(0)=0 andimage