Let Φ be an Orlicz function and LΦ(X,Σ,μ) be the corresponding Or- licz space on a nonatomic, σ-finite, complete measure space (X, Σ, μ). Our main interest is to rellate analytic properties of LΦ(X,Σ,μ) to various geo- metric conditions centered around convexity as the norm of the Orlicz space varies. We give criteria for the strict convexity of Orlicz spaces equipped with s-norms which lead to results about smoothness and Gateaux differen- tiability of s-norms. We also provide a new perspective for studying extremal problems on Orlicz spaces.

(Joint work with Esra Ba ̧sar, Hu ̈seyin Uysal, and S ̧eyma Ya ̧sar.)