Abstract:

By means of geometries of Banach spaces and Orlicz spaces method, the characterizations over uniform rotundity of the Orlicz function spaces equipped with the generalized Orlicz norm was discussed. For the Orlicz function spaces generated by a Nfunction whose derivative on the right is convex and equipped with the generalized Orlicz norm, both sufficient and necessary conditions were presented to make them be uniform rotund.

Key words: generalized Orlicz norm, Orlicz function space, uniform rotund