Effective discretization of the energy integral and Grunsky coefficients in annuli
- M. Stiemer
- Constr. Approx
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.