On rates in Euler's formula for C_0-semigroups
arXiv:1301.4406
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.
to appear in Fritz Gesztesy Festschrift, Proc. Symp. Pure Math