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Supremum Norms for 2-Homogeneous Polynomials on Circle Sectors

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dc.contributor.authorMuñoz-Fernández, Gustavo A.
dc.contributor.authorPellegrino, D.
dc.contributor.authorSeoane Sepúlveda, Juan Benigno
dc.contributor.authorWeber, A.
dc.date.accessioned2023-06-19T13:27:32Z
dc.date.available2023-06-19T13:27:32Z
dc.date.issued2014
dc.description.abstractWe consider the Banach space of two homogeneous polynomials endowed with the supremum norm parallel to . parallel to(D(beta)) over circle sectors D(beta) of angle beta for several values of beta is an element of [0, 2 pi]. We provide an explicit formula for parallel to . parallel to(D(beta)), a full description of the extreme points of the corresponding unit balls, and a parametrization and a plot of their unit spheres. This work is an extension of a series of papers on the same topic published in the last decade and it has a number of applications to obtain polynomial-type inequalities
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipCNPq
dc.description.sponsorshipINCT-Matematica
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/28163
dc.identifier.issn0944-6532
dc.identifier.officialurlhttp://www.heldermann-verlag.de/jca/jca21/jca1310_b.pdf
dc.identifier.urihttps://hdl.handle.net/20.500.14352/33759
dc.issue.number3
dc.journal.titleJournal of Convex Analysis
dc.language.isoeng
dc.page.final764
dc.page.initial743
dc.publisherHeldermann Verlag
dc.relation.projectID477124/2012-7
dc.relation.projectIDMTM2009-07848
dc.rights.accessRightsrestricted 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.titleSupremum Norms for 2-Homogeneous Polynomials on Circle Sectors
dc.typejournal article
dc.volume.number21
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