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Optimal convergence rate for Yosida approximations of bounded holomorphic semigroups
Authors:M. Vilkienė
Affiliation:(1) Institute of Mathematics and Informatics, Akademijos 4, LT-08663 Vilnius, Lithuania
Abstract:
In this paper, we obtain optimal bounds for convergence rate for Yosida approximations of bounded holomorphic semigroups. We also provide asymptotic expansions for semigroups in terms of Yosida approximations and obtain optimal error bounds for these expansions.
Keywords:semigroups  Yosida approximations  asymptotic expansions  holomorphic semigroups  convergence rate
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