000109564 001__ 109564 000109564 005__ 20220208123551.0 000109564 0247_ $$2doi$$a10.1016/j.jat.2016.09.001 000109564 0248_ $$2sideral$$a91082 000109564 037__ $$aART-2017-91082 000109564 041__ $$aeng 000109564 100__ $$0(orcid)0000-0003-2453-7841$$aAbadias, Luciano$$uUniversidad de Zaragoza 000109564 245__ $$aC0-semigroups and resolvent operators approximated by Laguerre expansions 000109564 260__ $$c2017 000109564 5060_ $$aAccess copy available to the general public$$fUnrestricted 000109564 5203_ $$aIn this paper we introduce Laguerre expansions to approximate vector-valued functions. We apply this result to approximate C0- semigroups and resolvent operators in abstract Banach spaces. We study certain Laguerre functions in order to estimate the rate of convergence of these expansions. Finally, we illustrate the main results of this paper with some examples: shift, convolution and holomorphic semigroups, where the rate of convergence is improved. 000109564 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E64$$9info:eu-repo/grantAgreement/ES/MICINN/MTM2013-42105-P$$9info:eu-repo/grantAgreement/ES/UZ/CUD2014-CIE-09 000109564 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/ 000109564 590__ $$a0.939$$b2017 000109564 591__ $$aMATHEMATICS$$b85 / 309 = 0.275$$c2017$$dQ2$$eT1 000109564 592__ $$a0.907$$b2017 000109564 593__ $$aMathematics (miscellaneous)$$c2017$$dQ1 000109564 593__ $$aNumerical Analysis$$c2017$$dQ2 000109564 593__ $$aAnalysis$$c2017$$dQ2 000109564 593__ $$aApplied Mathematics$$c2017$$dQ2 000109564 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000109564 700__ $$0(orcid)0000-0001-9430-343X$$aMiana, Pedro J.$$uUniversidad de Zaragoza 000109564 7102_ $$12006$$2015$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Análisis Matemático 000109564 773__ $$g213 (2017), 1-22$$pJ. approx. theory$$tJournal of Approximation Theory$$x0021-9045 000109564 8564_ $$s345451$$uhttps://zaguan.unizar.es/record/109564/files/texto_completo.pdf$$yVersión publicada 000109564 8564_ $$s1062142$$uhttps://zaguan.unizar.es/record/109564/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000109564 909CO $$ooai:zaguan.unizar.es:109564$$particulos$$pdriver 000109564 951__ $$a2022-02-08-11:17:59 000109564 980__ $$aARTICLE