Some geometric properties on Orlicz spaces endowed with p-amemiya norm

This thesis has two main purposes. The first aim is to introduce the p-Amemiya norm family ( 1 ≤ p ≤ ∞ ) on Orlicz spaces, which are examples of modular spaces, and to classify the parameters at which the norms attain their infimums. The second aim is to examine geometric properties such as extreme points and rotundity in Orlicz spaces with respect to p-Amemiya norms, which are studied with respect to Luxemburg and Orlicz norms. In this thesis the geometric properties examined in the article [5] are considered and compared in a unified manner on Orlicz spaces and their proofs are given in detail.