New parameters and Lebesgue-type estimates in greedy approximation

Albiac Alesanco, Fernando José; Ansorena, José L.; Berná, Pablo M.

Publication:
New parameters and Lebesgue-type estimates in greedy approximation

dc.contributor.author	Albiac Alesanco, Fernando José
dc.contributor.author	Ansorena, José L.
dc.contributor.author	Berná, Pablo M.
dc.contributor.department	Estadística, Informática y Matemáticas	es_ES
dc.contributor.department	Estatistika, Informatika eta Matematika	eu
dc.contributor.department	Institute for Advanced Materials and Mathematics - INAMAT2	en
dc.contributor.funder	Universidad Pública de Navarra / Nafarroako Unibertsitate Publikoa	es
dc.date.accessioned	2023-04-04T11:30:33Z
dc.date.available	2023-04-04T11:30:33Z
dc.date.issued	2022
dc.date.updated	2023-04-04T11:11:35Z
dc.description.abstract	The purpose of this paper is to quantify the size of the Lebesgue constants (𝑳𝑚)∞ 𝑚=1 associated with the thresholding greedy algorithm in terms of a new generation of parameters that modulate accurately some features of a general basis. This fine tuning of constants allows us to provide an answer to the question raised by Temlyakov in 2011 to find a natural sequence of greedy-type parameters for arbitrary bases in Banach (or quasi-Banach) spaces which combined linearly with the sequence of unconditionality parameters (𝒌𝑚)∞ 𝑚=1 determines the growth of (𝑳𝑚)∞ 𝑚=1. Multiple theoretical applications and computational examples complement our study.	en
dc.description.sponsorship	F. Albiac acknowledges the support of the Spanish Ministry for Science and Innovation underGrant PID2019-107701GB-I00 for Operators, lattices, and structure of Banach spaces. F. Albiac and J. L. Ansorena acknowledge the support of the Spanish Ministry for Science, Innovation, and Universities under Grant PGC2018-095366-B-I00 for Análisis Vectorial, Multilineal y Aproximacion. P. M. Berna acknowledges the support of the Spanish Ministry for Science and Innovation under Grant PID2019-105599GB-I00 and the Grant 20906/PI/18 from Fundacion Seneca (Region de Murcia, Spain). Open Access funding provided by Universidad Publica de Navarra	en
dc.format.mimetype	application/pdf	en
dc.identifier.citation	Albiac, F., Ansorena, J. L., Berná, P. M. (2022) New parameters and Lebesgue-type estimates in greedy approximation. Forum of Mathematics, Sigma, 10, 1-39. https://doi.org/10.1017/fms.2022.102.	en
dc.identifier.doi	10.1017/fms.2022.102
dc.identifier.issn	2050-5094
dc.identifier.uri	https://academica-e.unavarra.es/handle/2454/45056
dc.language.iso	eng	en
dc.publisher	Cambridge University Press	en
dc.relation.ispartof	Forum of Mathematics, Sigma, (2022), 10, 1-39	en
dc.relation.projectID	info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-107701GB-I00/ES/	en
dc.relation.projectID	info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-095366-B-I00/ES/	en
dc.relation.projectID	info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-105599GB-I00/ES/	en
dc.relation.publisherversion	https://doi.org/10.1017/fms.2022.102
dc.rights	© The Author(s), 2022. This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence.	en
dc.rights.accessRights	Acceso abierto / Sarbide irekia	es
dc.rights.accessRights	info:eu-repo/semantics/openAccess	en
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/
dc.subject	Lebesgue constants	en
dc.subject	Greedy approximation	en
dc.title	New parameters and Lebesgue-type estimates in greedy approximation	en
dc.type	Artículo / Artikulua	es
dc.type	info:eu-repo/semantics/article	en
dc.type.version	Versión publicada / Argitaratu den bertsioa	es
dc.type.version	info:eu-repo/semantics/publishedVersion	en
dspace.entity.type	Publication
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