Using a very recent approach based on the Charnes-Cooper trasformation we characterize the pseudoconvexity of the sum between a quadratic fractional function and a linear one. Furthemore we prove that the ratio between a quadratic fractional function and the cube of an affine one is pseudoconvex if and only if the product between a quadratic fractional function and an affine one is pseudoconvex and we provide a sort of canonical form for this latter class of functions. Benefiting by the new results we are able to characterize the pseudoconvexity of the ratio between a quadratic fractional function and the cube of an affine one. © 2006 Springer-Verlag Berlin Heidelberg.
CITATION STYLE
Carosi, L., & Martein, L. (2007). Some classes of pseudoconvex fractional functions via the charnes-cooper transformation. In Lecture Notes in Economics and Mathematical Systems (Vol. 583, pp. 177–188). https://doi.org/10.1007/978-3-540-37007-9_10
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