Uniform Convexity

To each , there corresponds a  such that  whenever  and . This is a geometric property of the unit sphere of space: if the midpoint of a line segment with endpoints on the surface of the sphere approaches the surface, then the endpoints must come closer together (Cheney 1999).

REFERENCES:

Cheney, E. W. Introduction to Approximation Theory, 2nd ed. Providence, RI: Amer. Math. Soc., 1999.