Open AccessAsymptotic expansions for Yosida approximations of semigroups
Author(s) -
Monika Vilkienė
Publication year - 2008
Publication title -
lietuvos matematikos rinkinys
Language(s) - English
Resource type - Journals
eISSN - 2335-898X
pISSN - 0132-2818
DOI - 10.15388/lmr.2008.13
Subject(s) - mathematics , approximations of π , remainder , asymptotic expansion , convergence (economics) , limit (mathematics) , shaping , mathematical analysis , arithmetic , electronic engineering , engineering , economics , economic growth
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.