Bounds and Asymptotics for Orthogonal Polynomials for Varying Weights

1. Introduction
Eli Levin, Doron S. Lubinsky

2. Statement of Main Results
Eli Levin, Doron S. Lubinsky

3. Potential Theoretic Estimates
Eli Levin, Doron S. Lubinsky

4. Restricted Range Inequalities
Eli Levin, Doron S. Lubinsky

5. Bounds for Christoffel Functions
Eli Levin, Doron S. Lubinsky

6. Spacing of Zeros
Eli Levin, Doron S. Lubinsky

7. Bounds on Orthogonal Polynomials
Eli Levin, Doron S. Lubinsky

8. Markov-Bernstein Inequalities in L

∞


Eli Levin, Doron S. Lubinsky

9. Discretization of Potentials
Eli Levin, Doron S. Lubinsky

10. Derivatives of Discretized Polynomials
Eli Levin, Doron S. Lubinsky

11. Weighted Polynomial Approximations
Eli Levin, Doron S. Lubinsky

12. Formulae Involving Bernstein-Szegő Polynomials
Eli Levin, Doron S. Lubinsky

13. Asymptotics of Orthonormal Polynomials
Eli Levin, Doron S. Lubinsky

14. Further Bounds
Eli Levin, Doron S. Lubinsky

15. Universality Limits and Entropy Integrals
Eli Levin, Doron S. Lubinsky

Keywords: Mathematics, Field Theory and Polynomials, Approximations and Expansions