Some properties of Pythagorean modulus.
Some estimates on the weakly convergent sequence coefficient in Banach spaces.
On estimates of the generalized Jordan--von Neumann constant of Banach spaces.
Approximating curve and strong convergence of the algorithm for the split feasibility problem.
Modulus of convexity, the coefficient , and normal structure in Banach spaces.
An inequality between the James and James type constants in Banach spaces
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.
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