HEAL DSpace

Polarization constants for products of linear functionals over ℝ2 and ℂ2 and Chebyshev constants of the unit sphere

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dc.contributor.author Anagnostopoulos, VA en
dc.contributor.author Revesz, SGY en
dc.date.accessioned 2014-03-01T01:24:52Z
dc.date.available 2014-03-01T01:24:52Z
dc.date.issued 2006 en
dc.identifier.issn 0033-3883 en
dc.identifier.uri https://dspace.lib.ntua.gr/xmlui/handle/123456789/17475
dc.relation.uri http://www.scopus.com/inward/record.url?eid=2-s2.0-33644944599&partnerID=40&md5=feae0680beb47b8534963327dfcd79aa en
dc.subject Chebyshev constants en
dc.subject Generalized trigonometric functions en
dc.subject Homogeneous polynomials in ℝ2 and ℂ2 en
dc.subject Min-max problems for polynomials en
dc.subject Polarization constants en
dc.subject Potential theory en
dc.subject Well-distributed point sets on the unit sphere en
dc.subject.classification Mathematics en
dc.subject.other HILBERT-SPACES en
dc.subject.other PLANK PROBLEM en
dc.subject.other LOWER BOUNDS en
dc.subject.other POLYNOMIALS en
dc.title Polarization constants for products of linear functionals over ℝ2 and ℂ2 and Chebyshev constants of the unit sphere en
heal.type journalArticle en
heal.language English en
heal.publicationDate 2006 en
heal.abstract The topic of this work is the estimation of the linear polarization constant of normed spaces. In finite dimensional Hilbert spaces we study the linear polarization constant and the Chebyshev constant. By constructing certain generalized trigonometric functions, our investigation leads to the connection of the polarization constant on a 2-dimensional complex Hilbert space and the Chebyshev constant of S-2. This provides estimates for the n(th) polarization constants. Our main result is asymptotically best possible. en
heal.publisher KOSSUTH LAJOS TUDOMANYEGYETEM en
heal.journalName Publicationes Mathematicae en
dc.identifier.isi ISI:000236694500005 en
dc.identifier.volume 68 en
dc.identifier.issue 1-2 en
dc.identifier.spage 63 en
dc.identifier.epage 75 en


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