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}
}
  • W. Assche
  • Published 29 October 1993
  • Mathematics
  • Journal of Computational and Applied Mathematics
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16 Citations
Background Citations
3
Methods Citations
1

16 Citations

Asymptotic behavior of Christoffel-Darboux kernel via three-term recurrence relation II
Asymptotic Behaviour of Orthogonal Polynomials on the Unit Circle with Asymptotically Periodic Reflection Coefficients: II. Weak Asymptotics☆☆☆
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
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
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
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
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
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
Inverse Stieltjes iterates and errors of Pade´ approximants in the whole complex plane
The discrete spectrum of Jacobi matrix related to recurrence relations with periodic coefficients 1
1 Dedicated to Petr Kulish in connection with the seventieth anniversary.
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