Noncreasy and uniformly noncreasy Orlicz–Bochner function spaces

We point out that uniform noncreasiness is a super-property in Banach spaces. Moreover, we prove that Orlicz–Bochner function spaces are noncreasy if and only if they are rotund or smooth. Finally, we obtain that Orlicz–Bochner function spaces are uniformly noncreasy if and only if they are uniformly rotund or uniformly smooth.