N(u) +N(v)

We give a criterion of smoothness of Orlicz sequence spaces with Orlicz norm. Let x = 0 be an element of a Banach space X,x is called a smooth point if it has the unique supporting functional f ∈ X∗, ‖f ‖ = 1 and f(x) = ‖x ‖. X is smooth if and only if all elements ( = 0) are smooth. For Orlicz function spaces equipped with Orlicz norm and Luxemburg norm, and for Orlicz sequence spaces with Luxemburg norm, the criteria of smoothness were obtained by T. Wang, S. Chen, R. Grzas*lewicz, H. Hudzik and others in [1-4] and [6-9]. But up to now no satisfied result has been seen for Orlicz sequence spaces equipped with Orlicz norm. Here we shall fill it. In the sequel, M and N denote a pair of complemented N-functions, p and q their right-hand derivatives, respectively. M ∈ δ2 stands for that M satisfies δ2-con-dition for small u.N is strictly convex if u = v implie