Lebesgue-Type Inequalities for Quasi-greedy Bases

Garrigós, Gustavo; Hernández Rodríguez, Eugenio; Oikhberg, Timur

UAM_Biblioteca

dc.contributor.author	Garrigós, Gustavo
dc.contributor.author	Hernández Rodríguez, Eugenio
dc.contributor.author	Oikhberg, Timur
dc.contributor.other	UAM. Departamento de Matemáticas	es_ES
dc.date.accessioned	2016-02-12T13:38:04Z
dc.date.available	2016-02-12T13:38:04Z
dc.date.issued	2013-12-01
dc.identifier.citation	Constructive Approximation 38.3 (2013): 447-470	en_US
dc.identifier.issn	0176-4276 (print)	es_ES
dc.identifier.issn	1432-0940 (online)	es_ES
dc.identifier.uri	http://hdl.handle.net/10486/669628
dc.description	The final publication is available at Springer via http://dx.doi.org/10.1007/s00365-013-9209-z	en_US
dc.description.abstract	We show that for quasi-greedy bases in real or complex Banach spaces the error of the thresholding greedy algorithm of order N is bounded by the best N-term error of approximation times a function of N which depends on the democracy functions and the quasi-greedy constant of the basis. If the basis is democratic this function is bounded by C log N. We show with two examples that this bound is attained for quasi-greedy democratic bases	en_US
dc.description.sponsorship	First and second authors supported by Grant MTM2010-16518 (Spain). Third author supported by a travel grant from Simons Foundation, and by a COR grant from University of California System	en_US
dc.format.extent	20 pag.	es_ES
dc.format.mimetype	application/pdf	en
dc.language.iso	eng	en
dc.publisher	Springer New York LLC	en_US
dc.relation.ispartof	Constructive Approximation	en_US
dc.rights	© Springer Science+Business Media New York 2013	en_US
dc.subject.other	Bounded variation	en_US
dc.subject.other	Democracy functions	en_US
dc.subject.other	Lebesgue-type inequalities	en_US
dc.subject.other	Non-linear approximation	en_US
dc.subject.other	Quasi-greedy bases	en_US
dc.subject.other	Thresholding greedy algorithm	en_US
dc.title	Lebesgue-Type Inequalities for Quasi-greedy Bases	en_US
dc.type	article	en
dc.subject.eciencia	Matemáticas	es_ES
dc.relation.publisherversion	http://dx.doi.org/10.1007/s00365-013-9209-z	es_ES
dc.identifier.doi	10.1007/s00365-013-9209-z	es_ES
dc.identifier.publicationfirstpage	447	es_ES
dc.identifier.publicationissue	3	es_ES
dc.identifier.publicationlastpage	470	es_ES
dc.identifier.publicationvolume	38	es_ES
dc.relation.projectID	Gobierno de España. MTM2010-16518	es_ES
dc.type.version	info:eu-repo/semantics/acceptedVersion	en
dc.rights.accessRights	openAccess	en
dc.authorUAM	Hernández Rodríguez, Eugenio (260252)
dc.facultadUAM	Facultad de Ciencias