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dc.contributor.author
Mazzone, Fernando Dario  
dc.contributor.author
Zo, Felipe  
dc.date.available
2024-05-13T09:34:27Z  
dc.date.issued
2009-06  
dc.identifier.citation
Mazzone, Fernando Dario; Zo, Felipe; On maximal inequalities arising in best approximation; Victoria University; Journal of Inequalities in Pure and Applied Mathematics; 10; 6-2009; 1-21, 58  
dc.identifier.issn
1443-5756  
dc.identifier.uri
http://hdl.handle.net/11336/235166  
dc.description.abstract
Let f be a function in an Orlicz space L^Φ and  μ(f,la) be the  set all the best Φ-approximants to f, given a $sigma-σ−−lattice L. Weak type inequalities are proved for the maximal operator f∗ = supn |fn|, where fn is any selection of functions in µ(f, Ln), and Ln is an increasing sequence of σ-lattices. Strong inequalities are proved in an abstract set up which can be used for an operator as f ∗ .  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Victoria University  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
BEST APPROXIMANTS  
dc.subject
Φ-APPROXIMANTS  
dc.subject
Σ-LATTICES  
dc.subject
MAXIMAL INEQUALITIES  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
On maximal inequalities arising in best approximation  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2024-05-03T13:59:10Z  
dc.journal.volume
10  
dc.journal.pagination
1-21, 58  
dc.journal.pais
Australia  
dc.journal.ciudad
Melbourne  
dc.description.fil
Fil: Mazzone, Fernando Dario. Universidad Nacional de Río Cuarto; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina  
dc.description.fil
Fil: Zo, Felipe. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Matemática Aplicada de San Luis "Prof. Ezio Marchi". Universidad Nacional de San Luis. Facultad de Ciencias Físico, Matemáticas y Naturales. Instituto de Matemática Aplicada de San Luis "Prof. Ezio Marchi"; Argentina  
dc.journal.title
Journal of Inequalities in Pure and Applied Mathematics  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.emis.de/journals/JIPAM/article1114.html  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.emis.de/journals/JIPAM/images/286_06_JIPAM/286_06.pdf  

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