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Approximation in different smoothness spaces with the RAFU method

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Approximation in different smoothness spaces with the RAFU method

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dc.contributor.author Corbacho Cortés, Eduardo es_ES
dc.date.accessioned 2014-10-28T07:36:45Z
dc.date.available 2014-10-28T07:36:45Z
dc.date.issued 2014-10-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/43629
dc.description.abstract [EN] The RAFU method is an original and unknown approximation procedure we can use in Approximation Theory. We know that the RAFU method provides a linear space uniformly dense in C[a,b] by using some separation conditions. In this work, we will show we can employ the RAFU method to approximate functions of C0(R) and C00(R), Riemann integrable functions, Lebesgue integrable functions, functions of Lp[a,b] and Lp(R), 1≤p<¥ and measurable functions. Moreover, Riemann integrals can be approximated by the integrals of the functions that the RAFU method provides. es_ES
dc.language Inglés es_ES
dc.publisher Editorial 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 method es_ES
dc.subject RAFU approximation es_ES
dc.subject Approximation Theory es_ES
dc.title Approximation in different smoothness spaces with the RAFU method es_ES
dc.type Artículo es_ES
dc.date.updated 2014-10-27T16:24:50Z
dc.identifier.doi 10.4995/agt.2014.2139
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Corbacho Cortés, E. (2014). Approximation in different smoothness spaces with the RAFU method. Applied General Topology. 15(2):221-228. https://doi.org/10.4995/agt.2014.2139 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2014.2139 es_ES
dc.description.upvformatpinicio 221 es_ES
dc.description.upvformatpfin 228 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 15
dc.description.issue 2
dc.identifier.eissn 1989-4147
dc.description.references Cohn, D. L. (1980). Measure Theory. doi:10.1007/978-1-4899-0399-0 es_ES
dc.description.references E. Corbacho, A RAFU linear space uniformly dense in C[a,b], Appl. Gen. Topology 14, no. 1 (2013), 53-60. es_ES
dc.description.references Corbacho, E. (2012). Uniform approximation with radical functions. SeMA Journal, 58(1), 97-122. doi:10.1007/bf03322606 es_ES
dc.description.references E. Corbacho, Uniform reconstruction of continuous functions with the RAFU method. Error bounds. Algorithms., submitted es_ES
dc.description.references Garrido, M. I., & Montalvo, F. (1992). Uniform approximation theorems for real-valued continuous functions. Topology and its Applications, 45(2), 145-155. doi:10.1016/0166-8641(92)90054-4 es_ES
dc.description.references Gassó, T., Hernández, S., & Rojas, E. (2008). Representation and approximation by series of continuous functions. Acta Mathematica Hungarica, 123(1-2), 91-102. doi:10.1007/s10474-008-8064-z es_ES


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