Characterizing the pseudoconvexity of a wide class of generalized fractional functions

We consider a wide class of generalized fractional functions, namely the sum between a linear one and a ratio which has an affine function as numerator and, as denominator, the p-th power of an affine one. For this class of functions we aim to derive necessary and/or sufficient conditions for pseudoconvexity on the nonnegative orthant. The obtained conditions are very easy to be checked and allow us to construct several subclasses of pseudoconvex generalized fractional functions.