https://ogma.newcastle.edu.au/vital/access/ /manager/Index ${session.getAttribute("locale")} 5 https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:13010 p norms, such properties are termed "strong rotundity." A very simple characterization of strongly rotund integral functionals on L₁ is presented that shows, for example, that the Boltzmann-Shannon entropy ∫ x log x is strongly rotund. Examples are discussed, and the existence of everywhere- and densely-defined strongly rotund functions is investigated.]]> Wed 11 Apr 2018 16:19:45 AEST ]]> https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:13006 1-if Y_n converges weakly to ̅y and I(y_n) converges to I( ̅y ), then y_nn converges to ̅y in norm. As a corollary, it is obtained that, as the number of given moments increases, the best entropy estimates converge in L₁ norm to the best entropy estimate of the limiting problem, which is simply ̅ x in the determined case. Furthermore, for classical moment problems on intervals with ̅ x strictly positive and sufficiently smooth, error bounds and uniform convergence are actually obtained.]]> Wed 11 Apr 2018 12:55:45 AEST ]]>