%0 Journal Article
%T Asymptotic behavior inside the disk for Lebesgue Sobolev orthogonal polynomials
%A Berriochoa E
%A Cachafeiro A
%J Journal of Inequalities and Applications
%D 2002
%I Springer
%X In the present paper we study the behavior, inside and on the unit disk, of the monic orthogonal polynomials with respect to the following Sobolev inner product where is a finite positive Borel measure on with infinite support and is the normalized Lebesgue measure. Since strong asymptotics for the monic Sobolev orthogonal polynomials are well-known outside the unit disk, our aim, in this paper, is to study when the asymptotic formula can be extended up to the boundary and inside the disk.
%K Orthogonal polynomials
%K Difference equations
%K Sobolev inner products
%K Measures on the unit circle
%U http://www.journalofinequalitiesandapplications.com/content/7/316374