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On the convergence of rational approximations of semigroups on intermediate spaces |
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| Authors: | Mihá ly Ková cs. |
| Affiliation: | Department of Mathematics, Louisiana State University, Baton Rouge, Louisiana 70803 and Department of Analysis, Mathematics Institute, University of Miskolc, Miskolc-Egyetemváros, Hungary, H-3515 |
| Abstract: | We generalize a result by Brenner and Thomée on the rate of convergence of rational approximation schemes for semigroups. Using abstract interpolation techniques we obtain convergence on a continuum of intermediate spaces between the Banach space  and the domain of a certain power of the generator of the semigroup. The sharpness of the results is also discussed. |
| Keywords: | Rational approximation of semigroups intermediate spaces Favard spaces Hille-Phillips functional calculus time-discretization |
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