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dc.contributor.authorBoza Rocho, Santiago
dc.contributor.authorSoria de Diego, Javier
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.date.accessioned2019-04-23T09:21:02Z
dc.date.issued2019-01-01
dc.identifier.citationBoza, S.; Soria, J. Averaging operators on decreasing or positive functions: equivalence and optimal bounds. "Journal of approximation theory", 1 Gener 2019, vol. 237, p. 135-152.
dc.identifier.issn0021-9045
dc.identifier.urihttp://hdl.handle.net/2117/131811
dc.description.abstractWe study the optimal bounds for the Hardy operator S minus the identity, as well as S and its dualoperator S*, on the full range 1 = p = 8, for the cases of decreasing, positive or general functions (infact, these two kinds of inequalities are equivalent for the appropriate cone of functions). For 1< p = 2, we prove that all these estimates are the same, but for 2 < p <8, they exhibit a completely different behavior.
dc.format.extent18 p.
dc.language.isoeng
dc.publisherElsevier
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi matemàtica
dc.subject.lcshMathematical analysis
dc.subject.otherHardy operator
dc.subject.otherdual operator
dc.subject.otherbest constants
dc.subject.otherdecreasing functions
dc.titleAveraging operators on decreasing or positive functions: equivalence and optimal bounds
dc.typeArticle
dc.subject.lemacAnàlisi matemàtica
dc.contributor.groupUniversitat Politècnica de Catalunya. LARCA - Laboratori d'Algorísmia Relacional, Complexitat i Aprenentatge
dc.identifier.doi10.1016/j.jat.2018.09.001
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/pii/S0021904518301023
dc.rights.accessRestricted access - publisher's policy
local.identifier.drac23501991
dc.description.versionPostprint (author's final draft)
dc.date.lift2021-01-01
local.citation.authorBoza, S.; Soria, J.
local.citation.publicationNameJournal of approximation theory
local.citation.volume237
local.citation.startingPage135
local.citation.endingPage152


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