Christoffel functions and orthogonal polynomials for exponential weights on [-1, 1] / [electronic resource] A.L. Levin, D.S. Lubinsky.

By: Levin, A. L, 1944-Contributor(s): Lubinsky, D. S. (Doron Shaul), 1955-Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 535Publication details: Providence, RI : American Mathematical Society, c1994Description: 1 online resource (xiii, 146 p.)ISBN: 9781470401146 (online)Subject(s): Orthogonal polynomials | Christoffel-Darboux formula | ConvergenceAdditional physical formats: Christoffel functions and orthogonal polynomials for exponential weights on [-1, 1] /DDC classification: 510 s | 515/.55 LOC classification: QA3 | .A57 no. 535 | QA404.5Online resources: Contents | Contents
Contents:
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
Item type: E-BOOKS
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Link to resource Available EBK12988

"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

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