Pusgrupių Josidos aproksimacijų asimptotiniai skleidiniai

Autor:	Monika Vilkienė
Jazyk:	angličtina
Rok vydání:	2008
Předmět:	convergence rate Approximations of π lcsh:Mathematics holomorphic semigroups Applied mathematics semigroup approximation Yosida expansion asymptotic semigroup holomorphic Yosida approximations lcsh:QA1-939 asymptotic expansions semigroups Mathematics
Zdroj:	Lietuvos Matematikos Rinkinys, Vol 48, Iss proc. LMS (2008) Lietuvos matematikos rinkinys, Vilnius : Vilniaus universiteto leidykla, 2008, t. 48/49, p. 78-83
ISSN:	0132-2818 2335-898X
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1edd6ca7f40de714698cef59e5482339 https://www.journals.vu.lt/LMR/article/view/18065 Zobrazit plný text záznamu