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Examples of convex functions and classifications of normed spaces.

Borwein, Jon; Fitzpatrick, Simon; Vanderwerff, Jon — 1994

Journal of Convex Analysis

Directional moduli of rotundity and smoothness

Michael O. Bartlett; John R. Giles; Jon D. Vanderwerff — 1999

Commentationes Mathematicae Universitatis Carolinae

We study various notions of directional moduli of rotundity and when such moduli of rotundity of power type imply the underlying space is superreflexive. Duality with directional moduli of smoothness and some applications are also discussed.

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