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dc.contributor.author
Berasategui, Miguel Hernán  
dc.contributor.author
Berná, Pablo M.  
dc.date.available
2024-05-06T18:02:00Z  
dc.date.issued
2024-02  
dc.identifier.citation
Berasategui, Miguel Hernán; Berná, Pablo M.; Greedy-like bases for sequences with gaps; Birkhauser; Banach Journal of Mathematical Analysis; 18; 2; 2-2024; 1-43  
dc.identifier.issn
2662-2033  
dc.identifier.uri
http://hdl.handle.net/11336/234649  
dc.description.abstract
In 2018, Oikhberg introduced and studied variants of the greedy and weak greedy algorithms for sequences with gaps, with a focus on the n-t-quasi-greedy property that is based on them. Building upon this foundation, our current work aims to further investigate these algorithms and bases while introducing new ideas for two primary purposes. First, we aim to prove that for  n with bounded quotient gaps, n-t-quasi-greedy bases are quasi-greedy bases. This generalization extends a previous result to the context of Markushevich bases and, also, completes the answer to a question by Oikhberg. The second objective is to extend certain approximation properties of the greedy algorithm to the context of sequences with gaps and study if there is a relationship between this new extension and the usual convergence.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Birkhauser  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
NON-LINEAR APPROXIMATION  
dc.subject
GREEDY BASES  
dc.subject
WEAK GREEDY ALGORITHM  
dc.subject
QUASI-GREEDY BASES  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Greedy-like bases for sequences with gaps  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2024-05-03T13:58:19Z  
dc.identifier.eissn
1735-8787  
dc.journal.volume
18  
dc.journal.number
2  
dc.journal.pagination
1-43  
dc.journal.pais
Irán  
dc.description.fil
Fil: Berasategui, Miguel Hernán. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina  
dc.description.fil
Fil: Berná, Pablo M.. Cunef Universidad; España  
dc.journal.title
Banach Journal of Mathematical Analysis  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/10.1007/s43037-024-00324-2  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s43037-024-00324-2  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/2009.02257