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EnglishUsing 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.
| Titolo: | Some Classes of Pseudoconvex Fractional Functions via the Charnes and Cooper Transformation |
| Autori: | Carosi, Laura; Martein, Laura |
| Autori interni: | |
| Anno del prodotto: | 2007 |
| Abstract: | 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. |
| Digital Object Identifier (DOI): | 10.1007/978-3-540-37007-9_10 |
| Appare nelle tipologie: | 2.1 Contributo in volume (Capitolo o Saggio) |
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