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Levin, A. L., 1944-

Christoffel functions and orthogonal polynomials for exponential weights on [-1, 1] / [electronic resource] A.L. Levin, D.S. Lubinsky. - Providence, RI : American Mathematical Society, c1994. - 1 online resource (xiii, 146 p.) - Memoirs of the American Mathematical Society, v. 535 0065-9266 (print); 1947-6221 (online); .

"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

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Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012


Mode of access : World Wide Web

ISBN: 9781470401146 (online)

Subjects--Topical Terms:
Orthogonal polynomials.
Christoffel-Darboux formula.
Convergence.

LC Class. No.: QA3 QA404.5 / .A57 no. 535

Dewey Class. No.: 510 s 515/.55