Asymptotic expansions for Yosida approximations of semigroups
Monika Vilkienė
Institute of Mathematics and Informatics
Published 2008-12-21


Yosida approximations
asymptotic expansions
holomorphic semigroups
convergence rate

How to Cite

Vilkienė M. (2008) “Asymptotic expansions for Yosida approximations of semigroups”, Lietuvos matematikos rinkinys, 48(proc. LMS), pp. 78–83. doi: 10.15388/LMR.2008.13.


In this paper we provide asymptotic expansions for Yosida approximations of contraction semigroups. We also obtain optimal bounds for convergencerate and remainder terms of asymptotic expansions. We use a method introduced in [2] for analysis of errors in Central Limit Theorem and in approximations by accompanying laws. This method was applied in [3] to obtain optimal convergence rates in some approximation formulas for operators and in [10] to obtain asymtotic expansions and optimal error bounds for Euler’s approximations of semigroups.

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