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On rates in Euler's formula for C_0-semigroups
Published 18 Jan 2013 in math.FA and math.NA | (1301.4406v1)
Abstract: By functional calculus methods, we obtain optimal convergence rates in Euler's approximation formula for C_0-semigroups restricted to ranges of generalized Stieltjes functions. Our results include a number of partial cases studied in the literature and cannot essentially be improved.
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