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dc.contributor.author
Levis, Fabián Eduardo
dc.contributor.author
Marano, M.
dc.date.available
2017-08-09T15:29:30Z
dc.date.issued
2013-01
dc.identifier.citation
Levis, Fabián Eduardo; Marano, M.; Best Simultaneous Monotone Approximants in Orlicz Spaces; Taylor & Francis; Numerical Functional Analysis And Optimization; 34; 1; 1-2013; 16-35
dc.identifier.issn
0163-0563
dc.identifier.uri
http://hdl.handle.net/11336/22111
dc.description.abstract
Let f = (f1, , fm ), where fj belongs to the Orlicz space [0, 1], and let w = (w1, , wm ) be an m-tuple of m positive weights. If ⊂ [0, 1] is the class of nondecreasing functions, we denote by ,w(f, ) the set of best simultaneous monotone approximants to f, that is, all the elements g ∈ minimizing m j=1 1 0 (|fj − g |)wj, where is a convex function, (t) > 0 for t > 0, and (0) = 0. In this work, we show an explicit formula to calculate the maximum and minimum elements in ,w(f, ). In addition, we study the continuity of the best simultaneous monotone approximants.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Taylor & Francis
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Simultaneous Approximation
dc.subject
Monotone Approximation
dc.subject
Orlicz Spaces
dc.subject.classification
Otras Matemáticas
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Best Simultaneous Monotone Approximants in Orlicz Spaces
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2017-08-09T14:25:51Z
dc.journal.volume
34
dc.journal.number
1
dc.journal.pagination
16-35
dc.journal.pais
Reino Unido
dc.journal.ciudad
Londres
dc.description.fil
Fil: Levis, Fabián Eduardo. Universidad Nacional de Rio Cuarto; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.description.fil
Fil: Marano, M.. Universidad de Jaén; España
dc.journal.title
Numerical Functional Analysis And Optimization
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1080/01630563.2012.706770
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.tandfonline.com/doi/abs/10.1080/01630563.2012.706770
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