CARMA OANT SEMINAR Speaker: Dr Liangjin Yao, CARMA, The University of Newcastle Title: Legendre-type integrands and convex integral functions Location: Room V205, Mathematics Building (Callaghan Campus) The University of Newcastle Access Grid Venue: UNewcastle [ENQUIRIES] Time and Date: 3:00 pm, Mon, 10th Sep 2012 Abstract: In this talk, we study the properties of integral functionals induced on $L_\text{E}^1(S,\mu)$ by closed convex functions on a Euclidean space E. We give sufficient conditions for such integral functions to be strongly rotund (well-posed). We show that in this generality functions such as the Boltzmann-Shannon entropy and the Fermi-Dirac entropy are strongly rotund. We also study convergence in measure and give various limiting counter-example. This is joint work with Jon Borwein. [Permanent link]