Sentence examples for uniform convexity from inspiring English sources

Let be a uniformly convex hyperbolic with modulus of uniform convexity For any, and (2.15).

Let ((X,d)) be a complete uniformly convex metric space with monotone modulus of uniform convexity.

Let ((X, d, W)) be a uniformly convex hyperbolic space with monotone modulus of uniform convexity η and (xin X).

[15] Let (X, d, W) be a uniformly convex hyperbolic space with monotone modulus of uniform convexity η.

Then is uniformly convex, and (2.16). is a modulus of uniform convexity.

Let ((X,d,W)) be a complete uniformly convex hyperbolic space having a monotone modulus of uniform convexity η.

Next, we show that uniform convexity implies compactness in the sense of Penot [17] of the family of convex sets.

Uniform convexity.

By the uniform convexity, (3.5).

and uniform convexity means for.

(i) Uniform convexity implies locally uniform convexity, and locally uniform convexity implies strict convexity.