Journal Home Page Cumulative Index List of all Volumes Complete Contentsof this Volume Previous Article Journal of Convex Analysis 15 (2008), No. 2, 285--297Copyright Heldermann Verlag 2008 Comparing Fenchel-Moreau Conjugates with Level Set Conjugates Juan-Enrique Martínez-Legaz Dep. d'Economia i d'Història Econòmica, Universitat Autònoma de Barcelona, 08193 Bellaterra, Spain Ivan Singer Institute of Mathematics, P.O. Box 1-764, 70700 Bucharest, Romania [Abstract-pdf] We compare the Fenchel-Moreau second conjugates associated to an arbitrary coupling function $\varphi :X\times W\rightarrow \overline{R}=[-\infty ,+\infty ]$ between two sets $X$ and $W$ with the second level set conjugates associated to the same coupling. For a coupling $\varphi :R^{n}\times R^{n}\rightarrow R=(-\infty ,+\infty )$ that is additively homogeneous in one (or both) of the variables we also compare the first conjugates associated to the same coupling. We give an application to the min-type'' coupling function arising in the study of topical functions. Keywords: Generalized conjugation, topical functions, hull operators. MSC: 49N15, 26B25, 52A01. [ Fulltext-pdf  (144  KB)] for subscribers only.