Article ID Journal Published Year Pages File Type
4608181 Journal of Approximation Theory 2007 8 Pages PDF
Abstract

A quantitative version, based on modified K-functionals, of the classical Trotter's theorem concerning the approximation of C0-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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis