000109564 001__ 109564
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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
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000109564 951__ $$a2022-02-08-11:17:59
000109564 980__ $$aARTICLE