109564 20220208123551.0 doi 10.1016/j.jat.2016.09.001 sideral 91082 ART-2017-91082 eng Abadias, Luciano Universidad de Zaragoza (orcid)0000-0003-2453-7841 C0-semigroups and resolvent operators approximated by Laguerre expansions 2017 In 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. Access copy available to the general public Unrestricted info:eu-repo/grantAgreement/ES/DGA/E64 info:eu-repo/grantAgreement/ES/MICINN/MTM2013-42105-P info:eu-repo/grantAgreement/ES/UZ/CUD2014-CIE-09 info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 0.939 2017 MATHEMATICS 85 / 309 = 0.275 2017 Q2 T1 0.907 2017 Mathematics (miscellaneous) 2017 Q1 Numerical Analysis 2017 Q2 Analysis 2017 Q2 Applied Mathematics 2017 Q2 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Miana, Pedro J. Universidad de Zaragoza (orcid)0000-0001-9430-343X 2006 015 Universidad de Zaragoza Dpto. Matemáticas Área Análisis Matemático 213 (2017), 1-22 J. approx. theory Journal of Approximation Theory 0021-9045 345451 http://zaguan.unizar.es/record/109564/files/texto_completo.pdf Versión publicada 1062142 http://zaguan.unizar.es/record/109564/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:109564 articulos driver 2022-02-08-11:17:59 ARTICLE