The multiplication operator, zero location and asymptotic for non-diagonal Sobolev norms
One of the central problems in the theory of Sobolev orthogonal polynomials is to determine its asymptotic behavior. Under certain conditions the authors obtain the \(n\)-th root asyptotic of these polynomials with respect to a non-diagonal Sobolev norm. The boundedness of the zeros is obtained as a consequence of the boundedness of the multiplication operator.
orthogonal polynomials in Sobolev spaces
scientific article; zbMATH DE number 5760426