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On estimations of the greatest zeroes of orthogonal polynomials

Acta Mathematica Hungarica
Volume/Issue:
Volume 25: Issue 1-2
DOI:
https://doi.org/10.1007/bf01901752
Author:
G. Freud
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Bounds for weighted Lebesgue functions for exponential weights. II

Acta Mathematica Hungarica
Volume/Issue:
Volume 97: Issue 1-2
DOI:
https://doi.org/10.1023/a:1020854727886
Author:
D. Kubayi

Abstract  

In [3] we found estimates for the weighted Lebesgue functions, Δn(x), for a class of exponential weights that includes non-even weights, when the interpolation points are the zeros of orthogonal polynomials. In this paper, we use Szabados" method of adding two extra interpolation points to find better estimates for Lebesgue functions.

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Mean convergence of orthogonal Fourier series and interpolating polynomials

Acta Mathematica Hungarica
Volume/Issue:
Volume 107: Issue 1-2
DOI:
https://doi.org/10.1007/s10474-005-0183-1
Author:
Y. Xu
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On generalized Christoffel functions

Acta Mathematica Hungarica
Volume/Issue:
Volume 135: Issue 3
DOI:
https://doi.org/10.1007/s10474-012-0204-9
Author:
Ying Guang Shi

, T. Nevai , P. 1992 Generalized Jacobi weights, Christoffel functions, and zeros of orthogonal polynomials J. Approx. Theory 69 111 – 132

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