Strong Asymptotics for Extremal Polynomials Associated with Weights on R

D. S. Lubinsky, E. B. Saff9780387189581, 0-387-18958-0

The aim of this research monograph is to establish strong, or Szeg? type asymptotics for extremal polynomials associated with weights W(x) := exp (-Q(x)) on . While the Q(x) treated are fairly general – even and of smooth polynomial growth at infinity – a typical example is Q(x) := , > 0. The results are consequences of a strengthened form of the following assertion: Given 0