Orthogonal Polynomials Associated with Equilibrium Measures on ℝ

dc.citation.epage	401	en_US
dc.citation.issueNumber	2	en_US
dc.citation.spage	393	en_US
dc.citation.volumeNumber	46	en_US
dc.contributor.author	Alpan, Gökalp	en_US
dc.date.accessioned	2018-04-12T11:14:04Z
dc.date.available	2018-04-12T11:14:04Z
dc.date.issued	2017	en_US
dc.department	Department of Mathematics	en_US
dc.description.abstract	Let K be a non-polar compact subset of ℝ and μK denote the equilibrium measure of K. Furthermore, let Pn(⋅;μK) be the n-th monic orthogonal polynomial for μK. It is shown that ∥Pn(⋅;μK)∥L2(μK), the Hilbert norm of Pn(⋅;μK) in L2(μK), is bounded below by Cap(K)n for each n∈ ℕ. A sufficient condition is given for(∥Pn(⋅;μK)∥L2(μK)/Cap(K)n)n=1∞ to be unbounded. More detailed results are presented for sets which are union of finitely many intervals. © 2016, Springer Science+Business Media Dordrecht.	en_US
dc.identifier.doi	10.1007/s11118-016-9589-3	en_US
dc.identifier.issn	0926-2601
dc.identifier.uri	http://hdl.handle.net/11693/37459
dc.language.iso	English	en_US
dc.publisher	Springer Netherlands	en_US
dc.relation.isversionof	http://dx.doi.org/10.1007/s11118-016-9589-3	en_US
dc.source.title	Potential Analysis	en_US
dc.subject	Equilibrium measure	en_US
dc.subject	Jacobi matrices	en_US
dc.subject	Orthogonal polynomials	en_US
dc.subject	Widom factors	en_US
dc.title	Orthogonal Polynomials Associated with Equilibrium Measures on ℝ	en_US
dc.type	Article	en_US

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