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

Anagnostopoulos, VA; Revesz, SGY

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