C0-semigroups and resolvent operators approximated by Laguerre expansions
Abadias, Luciano (Universidad de Zaragoza) ; Miana, Pedro J. (Universidad de Zaragoza)
Resumen: 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.
Idioma: Inglés
DOI: 10.1016/j.jat.2016.09.001
Año: 2017
Publicado en: Journal of Approximation Theory 213 (2017), 1-22
ISSN: 0021-9045
Factor impacto JCR: 0.939 (2017)
Categ. JCR: MATHEMATICS rank: 85 / 309 = 0.275 (2017) - Q2 - T1
Factor impacto SCIMAGO: 0.907 - Mathematics (miscellaneous) (Q1) - Numerical Analysis (Q2) - Analysis (Q2) - Applied Mathematics (Q2)
Financiación: info:eu-repo/grantAgreement/ES/DGA/E64
Financiación: info:eu-repo/grantAgreement/ES/MICINN/MTM2013-42105-P
Financiación: info:eu-repo/grantAgreement/ES/UZ/CUD2014-CIE-09
Tipo y forma: Article (Published version)
Área (Departamento): Área Análisis Matemático (Dpto. Matemáticas)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. If you remix, transform, or build upon the material, you may not distribute the modified material.
Exportado de SIDERAL (2022-02-08-11:17:59)
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Idioma: Inglés
DOI: 10.1016/j.jat.2016.09.001
Año: 2017
Publicado en: Journal of Approximation Theory 213 (2017), 1-22
ISSN: 0021-9045
Factor impacto JCR: 0.939 (2017)
Categ. JCR: MATHEMATICS rank: 85 / 309 = 0.275 (2017) - Q2 - T1
Factor impacto SCIMAGO: 0.907 - Mathematics (miscellaneous) (Q1) - Numerical Analysis (Q2) - Analysis (Q2) - Applied Mathematics (Q2)
Financiación: info:eu-repo/grantAgreement/ES/DGA/E64
Financiación: info:eu-repo/grantAgreement/ES/MICINN/MTM2013-42105-P
Financiación: info:eu-repo/grantAgreement/ES/UZ/CUD2014-CIE-09
Tipo y forma: Article (Published version)
Área (Departamento): Área Análisis Matemático (Dpto. Matemáticas)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. If you remix, transform, or build upon the material, you may not distribute the modified material. Exportado de SIDERAL (2022-02-08-11:17:59)
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Record created 2022-02-08, last modified 2022-02-08