## Effective discretization of the energy integral and Grunsky coefficients in annuli

- M. Stiemer
- Constr. Approx
- 2005

1 Excerpt

- Published 2010 in J. Computational Applied Mathematics

We investigate the properties of extremal point systems on the real line consisting of two interlaced sets of points solving a modified minimal energy problem. We show that these extremal points for the intervals [−1, 1], [0,∞), and (−∞,∞), which are analogues of Menke points for a closed curve, are related to the zeros and extrema of classical orthogonal polynomials. We also discuss the asymptotic behavior of the Lebesgue constants for the “Menke points” on [−1, 1]. Dedicated to Jesus Dehesa on the occasion of his 60 birthday.

@article{Mathur2010MenkePO,
title={Menke points on the real line and their connection to classical orthogonal polynomials},
author={P. Mathur and Johann S. Brauchart and Edward B. Saff},
journal={J. Computational Applied Mathematics},
year={2010},
volume={233},
pages={1416-1431}
}