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 | |
relation.isAuthorOfPublication | 3a702006-6ba1-41ba-93bf-ea9fee1de239 | |
relation.isAuthorOfPublication.latestForDiscovery | 3a702006-6ba1-41ba-93bf-ea9fee1de239 |