COLLOQUIUM MATHEMATICUM, 2026 (SCI-Expanded, Scopus)
Let Phi be an Orlicz function and L Phi (X, Sigma, & micro;) be the corresponding Orlicz space on a non-atomic, sigma-finite, complete measure space (X, Sigma, & micro;). We describe the local uniform convexity of Orlicz spaces endowed with the s-norm and discuss the weak and compact variants of this property. Also, we derive some results in approximation theory, concerning best approximations and farthest points. Thus, our study provides a comprehensive generalization of several results that have been obtained for Orlicz spaces with the Orlicz norm and the Luxemburg norm.