On rates in Euler's formula for C₀-semigroups
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🧮 math.FA
math.NA
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eulerformularatessemigroupsapproximationcalculuscannotcases
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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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