https://ogma.newcastle.edu.au/vital/access/ /manager/Index ${session.getAttribute("locale")} 5 https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:13008 Wed 11 Apr 2018 16:41:49 AEST ]]> https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:13029 p norm (1 < p < ∞) is used as the objective, the estimates actually converge in norm. These results provide theoretical support to the growing popularity of such methods in practice.]]> Wed 11 Apr 2018 15:40:11 AEST ]]> https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:13031 p space, subject to a finite number of linear equality constraints. Such problems arise in spectralestimation, where the objective function is often entropy-like, and in constrained approximation. The Lagrangian dual problem is finite-dimensional and unconstrained. Under a quasi-interior constraint qualification, the primal and dual values are equal, with dual attainment. Examples show the primal value may not be attained. Conditions are given that ensure that the primal optimal solution can be calculated directly from a dual optimum. These conditions are satisfied in many examples.]]> Wed 11 Apr 2018 14:04:12 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 ]]>