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Displaying similar documents to “On Bernstein type operators”

Asymptotic Formulae for Bernstein-Schnabl Operators and Smoothness

Francesco Altomare (2009)

Bollettino dell'Unione Matematica Italiana

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Of concern are Bernstein-Schnabl operators associated with a continuous selection of Borel measures on the unit interval. With respect to these sequences of positive linear operators we determine the classes of all continuous functions verifying a pointwise asymptotic formula or a uniform one. Our methods are essentially based on a general characterization of the domains of Feller semigroups in terms of asymptotic formulae and on the determination of both the saturation class of Bernstein-Schnabl...