Asymptotics of the L2 norm of derivatives of OPUC

dc.contributor.author	Martínez-Finkelshtein, Andrei
dc.contributor.author	Barry, Simon
dc.date.accessioned	2012-07-31T11:43:09Z
dc.date.available	2012-07-31T11:43:09Z
dc.date.issued	2011
dc.identifier.uri	http://hdl.handle.net/10835/1624
dc.description.abstract	We show that for many families of OPUC, one has k'′nk2/n → 1, , a condition we call normal behavior. We prove that this implies \| n\| → 0 and that it holds if P∞ n=0\| n\| < ∞. We also prove it is true for many sparse sequences. On the other hand, it is often destroyed by the insertion of a mass point.	es_ES
dc.language.iso	en	es_ES
dc.source	Journal of Approximation Theory Volume 163, Issue 6, June 2011	es_ES
dc.subject	Polinomios ortogonales	es_ES
dc.subject	Asintótica	es_ES
dc.subject	Orthogonal polynomials	es_ES
dc.subject	Derivative asymptotics	es_ES
dc.title	Asymptotics of the L2 norm of derivatives of OPUC	es_ES
dc.type	info:eu-repo/semantics/article	es_ES
dc.rights.accessRights	info:eu-repo/semantics/openAccess	es_ES