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Lebesgue inequalities for Chebyshev thresholding greedy algorithms

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dc.contributor.authorBerná, Pablo M.
dc.contributor.authorBlasco, Óscar
dc.contributor.authorGarrigós Aniorte, Gustavo Adolfo
dc.contributor.authorHernández, Eugenio
dc.contributor.authorOikhberg, Timur
dc.contributor.departmentMatemáticas
dc.date.accessioned2026-01-25T21:06:21Z
dc.date.available2026-01-25T21:06:21Z
dc.date.copyright© 2019, Universidad Complutense de Madrid
dc.date.issued2020
dc.description.abstractWe establish estimates for the Lebesgue parameters of the Chebyshev Weak Thresholding Greedy Algorithm in the case of general bases in Banach spaces. These generalize and slightly improve earlier results in [9], and are complemented with examples showing the optimality of the bounds. Our results also correct certain bounds recently announced in [18], and answer some questions left open in that paper
dc.formatapplication/pdf
dc.format.extent22
dc.identifier.citationRev Mat Complut 33, 695–722 (2020)
dc.identifier.doihttps://doi.org/10.1007/s13163-019-00328-9
dc.identifier.eissn1988-2807
dc.identifier.issn1139-1138
dc.identifier.urihttp://hdl.handle.net/10201/193309
dc.languageeng
dc.publisherSpringer
dc.relationThe research of the authors P. M. Berná, G. Garrigós and E. Hernández are partially supported by the Grants MTM-2016-76566-P (MINECO, Spain) and 19368/PI/14 (Fundación Séneca, Región de Murcia, Spain). Also, P. M. Berná was supported by a Ph.D fellowship of the program “Ayudas para contratos predoctorales para la formación de doctores 2017” (MINECO, Spain). Ó. Blasco is supported by Grant MTM-2014-53009-P (MINECO, Spain). G. Garrigós partially supported by Grant MTM2017-83262-C2-2-P (Spain). E. Hernández has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 777822.
dc.relation.publisherversionhttps://link.springer.com/article/10.1007/s13163-019-00328-9
dc.relation.replaceshttps://arxiv.org/abs/1811.04268
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International*
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectThresholding Chebyshev greedy algorithm
dc.subjectThresholding greedy algorithm
dc.subjectQuasi greedy basis
dc.subjectSemi greedy bases
dc.subject.odsNo relacionado con ningún objetivo de desarrollo sostenible
dc.titleLebesgue inequalities for Chebyshev thresholding greedy algorithms
dc.typeinfo:eu-repo/semantics/article
dc.type.versioninfo:eu-repo/semantics/acceptedVersion
dspace.entity.typePublicationes
relation.isAuthorOfPublicationcb2141e4-bc91-41f5-a3d4-f944e00ef2e5
relation.isAuthorOfPublication.latestForDiscoverycb2141e4-bc91-41f5-a3d4-f944e00ef2e5
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