- -

A RAFU linear space uniformly dense in C [a, b]

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

A RAFU linear space uniformly dense in C [a, b]

Mostrar el registro sencillo del ítem

Ficheros en el ítem

dc.contributor.author Corbacho Cortés, E. es_ES
dc.date.accessioned 2017-09-19T07:03:18Z
dc.date.available 2017-09-19T07:03:18Z
dc.date.issued 2013-04-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/87464
dc.description.abstract [EN] In this paper we prove that a RAFU (radical functions) linear space, ∁, is uniformly dense in C [a, b] by means of a S-separation condition of certain subsets of [a, b] due to Blasco-Moltó. This linear space is not a lattice or an algebra. Given an arbitrary function f 2 C [a, b] we will obtain easily the sequence (Cn)n of ∁ that converges uniformly to f and we will show the degree of uniform approximation to f with (Cn)n. es_ES
dc.language Inglés es_ES
dc.publisher Universitat Politècnica de València
dc.relation.ispartof Applied General Topology
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject RAFU es_ES
dc.subject Uniform density es_ES
dc.subject Uniform approximation es_ES
dc.subject Radical functions es_ES
dc.subject Approximation algorithm es_ES
dc.title A RAFU linear space uniformly dense in C [a, b] es_ES
dc.type Artículo es_ES
dc.date.updated 2017-09-19T06:39:34Z
dc.identifier.doi 10.4995/agt.2013.1617
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Corbacho Cortés, E. (2013). A RAFU linear space uniformly dense in C [a, b]. Applied General Topology. 14(1):53-60. https://doi.org/10.4995/agt.2013.1617 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2013.1617 es_ES
dc.description.upvformatpinicio 53 es_ES
dc.description.upvformatpfin 60 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 14
dc.description.issue 1
dc.identifier.eissn 1989-4147
dc.description.references E. Corbacho, Teoría general de la aproximación mediante funciones radicales, ISBN 84-690-1149-9, (Mérida, 2006). es_ES
dc.description.references E. Corbacho, The degree of uniform approximation by radical funtions, XXII CEDYA- XII CMA, September 5th-9th, (Palma de Mallorca, 2011). es_ES
dc.description.references E. Corbacho, Uniform approximation by means of radical functions, I Jaen Conference on Approximation Theory, July 4th-9th, (Jaen, 2010). es_ES
dc.description.references G. J. O. Jameson, Topology and normed spaces, Chapman and Hall, (London, 1974). es_ES
dc.description.references H. Tietze, Uber functionen die anf einer abgeschlossenen menge stetig sind, Journ. Math. 145 (1915), 9–14. es_ES
dc.description.references Stone, M. H. (1937). Applications of the theory of Boolean rings to general topology. Transactions of the American Mathematical Society, 41(3), 375-375. doi:10.1090/s0002-9947-1937-1501905-7 es_ES
dc.description.references M. I. Garrido, Aproximación uniforme en espacios de funciones continuas, Publicaciones del Departamento de Matemáticas Universidad de Extremadura 24, (Univ. Extremadura, Badajoz 1990). es_ES
dc.description.references M. T. Gassó, S. Hernández and S. Rojas, Aproximación por series en espacios de funciones continuas, (Univesitat Jaume I, Departament de Matemátiques, 2010). es_ES
dc.description.references Kakutani, S. (1941). Concrete Representation of Abstract (M)-Spaces (A characterization of the Space of Continuous Functions). The Annals of Mathematics, 42(4), 994. doi:10.2307/1968778 es_ES
dc.description.references S. Mrowka, On some approximation theorems, Nieuw Archief voor Wiskunde (3) XVI (1968), 94–111. es_ES
dc.description.references Stone, M. H. (1948). The Generalized Weierstrass Approximation Theorem. Mathematics Magazine, 21(4), 167. doi:10.2307/3029750 es_ES


Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro sencillo del ítem