We give a quantitative estimate of the convergence in Trotter's approximation theorem on the convergence of iterates of linear operators to an assigned semigroup. An application is given concerning the classical Bernstein operator on the d-dimensional simplex.
Rate of convergence in Trotter's approximation theorem
CAMPITI, Michele;TACELLI, CRISTIAN
2008-01-01
Abstract
We give a quantitative estimate of the convergence in Trotter's approximation theorem on the convergence of iterates of linear operators to an assigned semigroup. An application is given concerning the classical Bernstein operator on the d-dimensional simplex.File in questo prodotto:
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