A quantitative version, based on modified K-functionals, of the classical Trotter’s theorem concerning the approximation of C_0-semigroups is presented. The result is applied to the study of the degree of convergence of the iterated Bernstein operators on the N-dimensional simplex to their limiting semigroup.
A quantitative version of Trotter's theorem
MANGINO, Elisabetta Maria;
2007-01-01
Abstract
A quantitative version, based on modified K-functionals, of the classical Trotter’s theorem concerning the approximation of C_0-semigroups is presented. The result is applied to the study of the degree of convergence of the iterated Bernstein operators on the N-dimensional simplex to their limiting semigroup.File in questo prodotto:
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