Bounds and asymptotics for orthogonal polynomials for varying weights / Eli Levin, Doron S. Lubinsky.

Intro; Acknowledgement; Contents; 1 Introduction; 2 Statement of Main Results; 3 Potential Theoretic Estimates; 4 Restricted Range Inequalities; 5 Bounds for Christoffel Functions; 6 Spacing of Zeros; 7 Bounds on Orthogonal Polynomials; 8 Markov-Bernstein Inequalities in Lâ#x88;#x9E;; 9 Discretization of Potentials; 10 Derivatives of Discretized Polynomials; 11 Weighted Polynomial Approximations; 12 Formulae Involving Bernstein-SzegÅ#x91; Polynomials; 13 Asymptotics of Orthonormal Polynomials; 14 Further Bounds; 15 Universality Limits and Entropy Integrals; References; Index