An inequality between the James and James type constants in Banach spaces
Volume 201 / 2010
Studia Mathematica 201 (2010), 191-201
MSC: Primary 46B20.
DOI: 10.4064/sm201-2-5
Abstract
We consider the James and Schäffer type constants recently introduced by Takahashi. We prove an equality between James (resp. Schäffer) type constants and the modulus of convexity (resp. smoothness). By using these equalities, we obtain some estimates for the new constants in terms of the James constant. As a result, we improve an inequality between the Zbăganu and James constants.
