A quantitative version of Trotter's approximation theorem

• Autores: Elisabetta M. Mangino , Ioan Rasa
• Localización: Journal of approximation theory, ISSN 0021-9045, Vol. 146, Nº 2, 2007, págs. 149-156
• Idioma: inglés
• DOI: 10.1016/j.jat.2006.12.003
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• Resumen

  • 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.