TY  - BOOK
AU  - Levin,A.L.
AU  - Lubinsky,D.S.
TI  - Christoffel functions and orthogonal polynomials for exponential weights on [-1, 1]
T2  - Memoirs of the American Mathematical Society, 
SN  - 9781470401146 (online)
AV  - QA3QA404.5 .A57 no. 535
U1  - 510 s515/.55 20
PY  - 1994///
CY  - Providence, RI
PB  - American Mathematical Society
KW  - Orthogonal polynomials
KW  - Christoffel-Darboux formula
KW  - Convergence
N1  - "September 1994, volume 111, number 535 (fourth of 5 numbers)."; Includes bibliographical references (p. 142-145); 1. Introduction and results; 2. Some ideas behind the proofs; 3. Technical estimates; 4. Estimates for the density functions $\mu _n$; 5. Majorization functions and integral equations; 6. The proof of Theorem 1.7; 7. Lower bounds for $\lambda _n$; 8. Discretisation of a potential: Theorem 1.6; 9. Upper bounds for $\lambda _n$: Theorems 1.2 and Corollary 1.3; 10. Zeros: Corollary 1.4; 11. Bounds on orthogonal polynomials: Corollary 1.5; 12. $L_p$ Norms of orthonormal polynomials: Theorem 1.8; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012
UR  - http://www.ams.org/memo/0535
UR  - http://dx.doi.org/10.1090/memo/0535
ER  -