“…When G = t q /n and ϕ(t) = t p for 0 = p ∈ R, the general dual Orlicz-Minkowski problem reduces to the L p dual Minkowski problem [50]; contributions to this problem can be seen in, e.g., [3,10,11,14,33,38,41,55]. By letting G(u, t) = log t for all (u, t) ∈ S n−1 × (0, ∞), V G (K) for K ∈ K n (o) reduces to the dual entropy of K; in this case one can get the (L p and Orlicz) Aleksandrov problems [1,20,31] (see also [42,68]). Lastly, the general dual Orlicz-Minkowski problem also extends the dual Orlicz-Minkowski problems [65,69] and the Minkowski problem for Gaussian measures [32].…”