https://nova.newcastle.edu.au/vital/access/manager/Index ${session.getAttribute("locale")} 5 https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:2079 Wed 24 Jul 2013 22:55:37 AEST ]]> https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:2038 Wed 24 Jul 2013 22:52:46 AEST ]]> https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:781 Wed 24 Jul 2013 22:50:44 AEST ]]> https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:13147 Wed 24 Jul 2013 22:24:52 AEST ]]> https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:2095 Wed 11 Apr 2018 17:13:36 AEST ]]> https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:2093 Wed 11 Apr 2018 16:58:26 AEST ]]> https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:2092 Wed 11 Apr 2018 15:09:31 AEST ]]> https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:14227 Wed 11 Apr 2018 14:43:01 AEST ]]> https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:2629 Wed 11 Apr 2018 13:46:40 AEST ]]> https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:2622 Wed 11 Apr 2018 13:00:45 AEST ]]> https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:2616 Wed 11 Apr 2018 12:48:23 AEST ]]> https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:2096 Wed 11 Apr 2018 11:32:30 AEST ]]> https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:12688 Wed 11 Apr 2018 09:50:38 AEST ]]> https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:22409 Thu 22 Sep 2016 10:55:40 AEST ]]> https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:27514 Thu 08 Jun 2017 11:23:08 AEST ]]> https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:24342 Thu 08 Jun 2017 09:38:06 AEST ]]> https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:14071 Sat 24 Mar 2018 08:22:33 AEDT ]]> https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:14069 Sat 24 Mar 2018 08:22:33 AEDT ]]> https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:14073 1 approximation, constrained approximation and interpolation, spectral estimation, semi-infinite transportation problems and the generalized market area problem of Lowe and Hurter (1976). As in Part I, we shall use lattice notation extensively, but, as we illustrated there, in concrete examples lattice-theoretic ideas can be avoided, if preferred, by direct calculation.]]> Sat 24 Mar 2018 08:22:32 AEDT ]]> https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:14066 n appearing in ∏_n⩾1 ¹―_1+dn(tn/n!)=(1 – t) e^t.]]> Sat 24 Mar 2018 08:22:31 AEDT ]]> https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:14067 g(x) for all x, there is a continuous mapping h: X → ℝ with f(x) > h(x) > g(x). This is due to Dowker [Str], [Du]. In this paper we allow f and g to take extended values in a partially ordered vector space (Y,S) where S is an ordering convex cone, and give versions of Hahn's theorem and of Dowker's theorem in this setting. To do this we make appropriate definitions of semicontinuity for functions and for multifunctions. We are then able to apply Michael's selection theorem to the lower semicontinuous multifunction H(x) := [f(x) — S] ⋂ [g(x) + S] to obtain Hahn-type results. We provide a similar selection result for strongly lower semicontinuous multifunctions which we apply to K(x) := [f(x) — IntS] ⋂ [g(x) + IntS] to obtain Dowker-type results. In each case we place restrictions on S to insure that the selection theorem applies.]]> Sat 24 Mar 2018 08:22:31 AEDT ]]> https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:13143 Sat 24 Mar 2018 08:18:07 AEDT ]]> https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:12836 Sat 24 Mar 2018 08:16:48 AEDT ]]> https://nova.newcastle.edu.au/vital/access/manager/Repository/uon:37022 Fri 05 Mar 2021 15:37:55 AEDT ]]>