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EnglishThe 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.
| Titolo: | On the maximal domains of pseudoconvexity of some classes of generalized fractional functions | |
| Autori interni: | ||
| Anno del prodotto: | 2008 | |
| Abstract: | 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. | |
| Handle: | http://hdl.handle.net/11568/122410 | |
| Appare nelle tipologie: | 5.12 Altro |
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