Nearly strict convexity in Musielak–Orlicz–Bochner function spaces Original Research Article

Criteria for nearly strict convexity of Musielak–Orlicz–Bochner function spaces equipped with the Luxemburg norm are given. We also prove that, in Musielak–Orlicz–Bochner function spaces generated by strictly convex Banach space, nearly strict convexity and strict convexity are equivalent.