Wikipedia

Modulus and characteristic of convexity: Difference between revisions

Browse history interactively
← Previous editNext edit →
Content deleted Content added
VisualWikitext
m →Definitions: task, replaced: journal = Ann. of Math. (2) → journal = Ann. of Math. |series = 2 using AWB
Line 3:
==Definitions==
 
The '''modulus of convexity''' of a Banach space (''X'', ||&nbspmiddot;||) 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>
Retrieved from "https://en.wikipedia.org/wiki/Modulus_and_characteristic_of_convexity"