| Title |
Asymptotic expansions for Yosida approximations of semigroups |
| Translation of Title |
Pusgrupių Josidos aproksimacijų asimptotiniai skleidiniai. |
| Authors |
Vilkienė, Monika |
| DOI |
10.15388/LMR.2008.13 |
| Full Text |
|
| Is Part of |
Lietuvos matematikos rinkinys.. Vilnius : Vilniaus universiteto leidykla. 2008, t. 48/49, p. 78-83.. ISSN 0132-2818. eISSN 2335-898X |
| Keywords [eng] |
semigroup ; approximation, Yosida ; expansion, asymptotic ; semigroup, holomorphic ; convergence rate |
| Abstract [eng] |
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. |
| Published |
Vilnius : Vilniaus universiteto leidykla |
| Type |
Conference paper |
| Language |
English |
| Publication date |
2008 |
| CC license |
|
