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* When ''X'' is uniformly convex, it admits an equivalent norm with power type modulus of convexity.<ref>see {{harvtxt|Pisier|1975}}.</ref> Namely, there exists {{nowrap|''q'' ≥ 2}} and a constant {{nowrap|''c'' > 0}} such that
::<math>\delta(\varepsilon) \ge c \, \varepsilon^q, \quad \varepsilon \in [0, 2].</math>
== See also ==
*[[Uniformly smooth space]]
==Notes==
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