In this paper the generalized convexity of quadratic fractional functions is studied. It is proved that, for this class of functions, pseudoconvexity is equivalent to quasiconvexity and some characterizations for both pseudoconvexity and strict pseudoconvexity are given. Furthermore, the stated results are specialized to some particular classes of quadratic fractional functions, obtaining conditions that can be easily checked.
On generalized convexity of quadratic fractional functions
CAMBINI, RICCARDO;CAROSI, LAURA
2002-01-01
Abstract
In this paper the generalized convexity of quadratic fractional functions is studied. It is proved that, for this class of functions, pseudoconvexity is equivalent to quasiconvexity and some characterizations for both pseudoconvexity and strict pseudoconvexity are given. Furthermore, the stated results are specialized to some particular classes of quadratic fractional functions, obtaining conditions that can be easily checked.File in questo prodotto:
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