Equilibrium measure and limit zeros distribution of extremal weighted polynomials
For sequences of weighted polynomials, which are defined in a slightly different way than usually, the asymptotic zero distributions are investigated. Conditions are given that ensure that the zeros of these polynomials have a weighted equilibrium measure as their asymptotic distribution. The main theorem generalizes a classical result about the asymptotic distribution of zeros of polynomials extremal in the \(L^ \infty\)-norm.
scientific article; zbMATH DE number 643824