ABSTRACT
In studying the geometric properties of Banach spaces, W. Jung [1] introduced in 1901 certain invariants, for Banach spaces, with values in [|, 1], and calculated their values for finite dimensional Euclidean spaces. Later several authors found the exact values for certain Lf and other spaces. In fact some workers in the subject think that "estimation of Jung constants is one of the directions of research of the geometric theory of normed spaces". This chapter, like the preceding ones, is devoted to results on Jung constants for Orlicz spaces under both the Orlicz and gauge norms. Also for a class of intermediate Orlicz spaces exact values are calculated, and for general Orlicz spaces lower and upper estimates are obtained.
