Sobolev orthogonal polynomials have been studied extensively in the past quarter-century.
The research in this field has sprawled into several directions and generates a plethora of …

Analytic aspects of Sobolev orthogonal polynomials revisited - ScienceDirect Skip to main
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For a wide class of Sobolev orthogonal polynomials, it is proved that their zeros are
contained in a compact subset of the complex plane and the asymptotic zero distribution is …

Sobolev orthogonal polynomials with respect to measures supported on compact subsets of
the complex plane are considered. For a wide class of such Sobolev orthogonal …

In the variational formulation of a boundary value problem for the harmonic oscillator,
Sobolev inner products appear in a natural way. First, we study the sequences of Sobolev …

In this report we will survey some of the main ideas and tools which appeared recently in the
study of the analytic properties of polynomials orthogonal with respect to inner products …

In this paper we present a definition of weighted Sobolev spaces on curves and find general
conditions under which the spaces are complete for non-closed compact curves. We also …

Asymptotic of extremal polynomials in the complex plane Page 1 Journal of Approximation
Theory 137 (2005) 226 – 237 www.elsevier.com/locate/jat Asymptotic of extremal polynomials …

Abstract Let λ>0,α>1, and let W(x)=\exp(-|x|^α), x∈\smallbfR. Let ψ∈L_∞(\smallbfR) be
positive on a set of positive measure. For n≧1, one may form Sobolev orthonormal …

In this contribution, we present an overview of standard orthogonal polynomials by using an
algebraic approach. Discrete Darboux transformations of Jacobi matrices are studied. Next …