# Christoffel functions and Tura´n determinants on several intervals

@article{Assche1993ChristoffelFA, title={Christoffel functions and Tura´n determinants on several intervals}, author={Walter Van Assche}, journal={Journal of Computational and Applied Mathematics}, year={1993}, volume={48}, pages={207-223} }

## 16 Citations

Asymptotic behavior of Christoffel-Darboux kernel via three-term recurrence relation II

- MathematicsJ. Approx. Theory
- 2021

Asymptotic Behaviour of Orthogonal Polynomials on the Unit Circle with Asymptotically Periodic Reflection Coefficients: II. Weak Asymptotics☆☆☆

- Mathematics
- 2000

Abstract In this paper we study orthogonal polynomials with asymptotically periodic reflection coefficients. It's known that the support of the orthogonality measure of such polynomials consists of…

Regular Article: The Christoffel Function for Orthogonal Polynomials on a Circular Arc

- Mathematics
- 1999

For the special type of weight functions on circular arc we study the asymptotic behavior of the Christoffel kernel off the arc and of the Christoffel function inside the arc. We prove Totik's…

Asymptotic Behaviour of Christoffel–Darboux Kernel Via Three-Term Recurrence Relation I

- Mathematics
- 2020

For Jacobi parameters belonging to one of three classes: asymptotically periodic, periodically modulated, and the blend of these two, we study the asymptotic behavior of the Christoffel functions and…

Discrete Spectrum of the Jacobi Matrix Related to Recurrence Relations with Periodic Coefficients

- Mathematics
- 2015

In this note, we study the discrete spectrum of the Jacobi matrix corresponding to polynomials defined by recurrence relations with periodic coefficients. As examples, we consider(a) the case where…

Christoffel functions and finite moment problems

- Mathematics
- 1995

The Christoffel functions are used here to approximate an unknown probability density u:(0,1) to R+ whose first m moments mu 1,..., mu m only are available. We obtain a sequence u(m) of estimators…

Christoffel functions and finite moment problems

- Mathematics
- 1995

The Christoffel functions are used here to approximate an unknown probability density u:(0,1) to R+ whose first m moments mu 1,..., mu m only are available. We obtain a sequence u(m) of estimators…

Gaussian integration formulas for logarithmic weights and application to 2-dimensional solid-state lattices

- MathematicsJ. Approx. Theory
- 2018

Inverse Stieltjes iterates and errors of Pade´ approximants in the whole complex plane

- Mathematics
- 1992

The discrete spectrum of Jacobi matrix related to recurrence relations with periodic coefficients 1

- Mathematics

1 Dedicated to Petr Kulish in connection with the seventieth anniversary.

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