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Modulus and characteristic of convexity: Difference between revisions

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==Definitions==
 
The '''modulus of convexity''' of a Banach space (''X'', ||&middotsdot;||) is the function {{nowrap|''δ'' : [0, 2] → [0, 1]}} defined by
 
:<math>\delta (\varepsilon) = \inf \left\{ 1 - \left\| \frac{x + y}{2} \right\| \,:\, x, y \in S, \| x - y \| \geq \varepsilon \right\},</math>
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