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arXiv · 1301.4406

On rates in Euler's formula for C_0-semigroups

Alexander Gomilko·Yuri Tomilov
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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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Alexander Gomilko, Yuri Tomilov. 2013-01-18. On rates in Euler's formula for C_0-semigroups. https://arxiv.org/abs/1301.4406

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