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Polynomial Inequalities on the π/4-Circle Sector

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dc.contributor.authorAraujo, G.
dc.contributor.authorJiménez Rodríguez, P.
dc.contributor.authorMuñoz-Fernández, Gustavo A.
dc.contributor.authorSeoane Sepúlveda, Juan Benigno
dc.date.accessioned2023-06-17T21:59:45Z
dc.date.available2023-06-17T21:59:45Z
dc.date.issued2017
dc.description.abstractA number of sharp inequalities are proved for the space P (2D (π/4)) of 2-homogeneous polynomials on ℝ2 endowed with the supremum norm on the sector D (π/4) := {eiθ : θ ∈ [0, π/4]}. Among the main results we can find sharp Bernstein and Markov inequalities and the calculation of the polarization constant and the unconditional constant of the canonical basis of the space P (2D (π/4)).
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Ciencia e Innovación (MICINN)
dc.description.sponsorshipCAPES
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/43805
dc.identifier.issn0944-6532
dc.identifier.officialurlhttps://arxiv.org/abs/1503.06607
dc.identifier.relatedurlhttps://arxiv.org/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/17906
dc.issue.number3
dc.journal.titleJournal of Convex Analysis
dc.language.isoeng
dc.publisherHeldermann Verlag
dc.relation.projectIDMTM2012-34341
dc.relation.projectID8015/14-7
dc.rights.accessRightsopen access
dc.subject.cdu517.98
dc.subject.keywordBernstein and Markov inequalities
dc.subject.keywordUnconditional constants
dc.subject.keywordPolarizations constants
dc.subject.keywordPolynomial inequalities
dc.subject.keywordHomogeneous polynomials
dc.subject.keywordExtreme points.
dc.subject.ucmAnálisis funcional y teoría de operadores
dc.titlePolynomial Inequalities on the π/4-Circle Sector
dc.typejournal article
dc.volume.number24
dspace.entity.typePublication
relation.isAuthorOfPublicatione85d6b14-0191-4b04-b29b-9589f34ba898
relation.isAuthorOfPublication.latestForDiscoverye85d6b14-0191-4b04-b29b-9589f34ba898

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