On the maximal domains of pseudoconvexity of some classes of generalized fractional functions

The aim of the paper is to characterize the maximal domains of two classes of generalized fractional functions: the sum of a linear and a linear fractional function and the sum of two linear fractional functions. Firstly, by using Charnes-Cooper’s variable transformation, the sum of two linear ratios is tranformed into the sum of a linear and a linear fractional function. Successively, the maximal domains of pseudoconvexity of this last class of functions are studied. Taking into account that Charnes-Cooper’s transformation preserves pseudoconvexity, the obtained results will allow us to reach our aim.