Some Convexity properties in Musielak-Orlicz sequence spaces endowed with the Luxemburg Norm

Criteria for k-strict convexity, uniform convexity in every direction, property K, property H, and property G in Musielak-Orlicz sequence spaces and their subspaces endowed with the Luxemburg norm are presented. In particular, we obtain a characterization of such properties of Nakano sequence spaces.