Sentence examples for weaker convergence from inspiring English sources

In fact, the attracting set also attracts in the weaker convergence in probability, in the sense, for all ε > 0 and every bounded set B ⊂ X, lim t → ∞ P ( dist X ( φ ( t, θ − t ω ) B, A = 0. Definition 2.2 A random compact set ω ↦ A is called to be a random attractor for the RDS φ if { A } ω ∈ Ω is an attracting set and φ ( t, ω ) A = A ( θ t ω ) for ω ∈ Ω and all t ≥ 0. Theorem 2.3 (see [4]).

⇀ denotes weak convergence.

Weak convergence   3.

It always has weak convergence.

Theorem 3.1 (Weak convergence theorem).

Weak convergence theorems are established.

→ for strong convergence and ⇀ for weak convergence.

Weak convergence of to is denoted by.

Now, we prove a weak convergence theorem.

We obtain a weak convergence theorem.

They obtained the following weak convergence theorem.