Publication:
Lebesgue inequalities for Chebyshev thresholding greedy algorithms

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BBGHO_chebichev_revised_31may2019.pdf(314.91 KB)
Date
2020
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Authors
Berná, Pablo M. ; Blasco, Óscar ; Garrigós Aniorte, Gustavo Adolfo ; Hernández, Eugenio ; Oikhberg, Timur
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Publisher
Springer
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Matemáticas
DOI
https://doi.org/10.1007/s13163-019-00328-9
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info:eu-repo/semantics/article
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Abstract
We 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
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Thresholding Chebyshev greedy algorithm , Thresholding greedy algorithm , Quasi greedy basis , Semi greedy bases
Citation
Rev Mat Complut 33, 695–722 (2020)
URI
http://hdl.handle.net/10201/193309
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