On the iterates of positive linear operators

Asymptotic Behaviour of the Iterates of Positive Linear Operators

and Applied Analysis 3 then lim k Uf Lf, ∀f ∈ C X . 3.2 Moreover, if X is a compact metric space, then the convergence is uniform. Proof. Let f ∈ C X . The case when Lf f is trivial. Indeed, in this case, since Lf ∈ V andU preserves the elements of V, we haveUf ULf Lf , and hence Uf Lf , k 1, 2, . . . . If Lf / f , for sufficiently small ε > 0, the inverse image of the open set −ε, ε under the ...

Asymptotic behaviour of iterates of positive linear operators

We investigate the iterates of positive linear operators on C[0, 1] which preserve the linear functions, and the asymptotic behaviour of the associated semigroup. The general results are applied to the Bernstein-Schnabl operators on the unit interval.

on the effect of linear & non-linear texts on students comprehension and recalling

چکیده ندارد.

On Linear Dependence of Iterates

A functional equation related to a problem of linear dependence of iterates is considered.

Iterates of Conditional Expectation Operators