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A quantitative version of Trotter's approximation theorem |
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| Authors: | Elisabetta M. Mangino Ioan Rasa |
| Affiliation: | aDipartimento di Matematica “E. De Giorgi”, Università degli Studi di Lecce, I-73100 Lecce, Italy;bDepartamentul de Matematica, Universitatea Tehnica, Str. C. Daicoviciu, 15, RO-400020 Cluj-Napoca, Romania |
| 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. |
| Keywords: | Rate of convergence Approximation processes mml2" > text-decoration:none color:black" href=" /science?_ob=MathURL&_method=retrieve&_udi=B6WH7-4MPKBV7-3&_mathId=mml2&_user=10&_cdi=6843&_rdoc=3&_acct=C000069468&_version=1&_userid=6189383&md5=9bde9701918db84999a6dda2fd0fa8e3" title=" Click to view the MathML source" alt=" Click to view the MathML source" >C0-semigroups |
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