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[null,"1.","Record Nr.",null,"UNINA9910788755403321"]
[null,null,"Autore",null,"Levin A. L. <1944->"]
[null,null,"Titolo",null,"Christoffel functions and orthogonal polynomials for exponential weights on [₋1, 1] / / A. L. Levin, D. S. Lubinsky"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , 1994"]
[{"$nulls":4},"©1994"]
[null,null,"ISBN",null,"1-4704-0114-2"]
[null,null,"Descrizione fisica",null,"1 online resource (166 p.)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society, , 0065-9266 ; ; Number 535"]
[null,null,"Disciplina",null,"515/.55"]
[null,null,"Soggetti",null,"Orthogonal polynomials"]
[{"$nulls":4},"Christoffel-Darboux formula"]
[{"$nulls":4},"Convergence"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","\"September 1994, Volume 111, Number 535 (fourth of 5 numbers).\""]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"\"\"Table of Contents\"\"; \"\"Â1. Introduction and Results\"\"; \"\"Definition 1.1: The class W\"\"; \"\"Theorem 1.2: Christoffel Functions\"\"; \"\"Corollary 1.3: Sup-Norms of Christoffel Functions\"\"; \"\"Corollary 1.4: Zeros\"\"; \"\"Corollary 1.5: Bounds on Orthonormal Polynomials\"\"; \"\"Theorem 1.6: Sup-Norm Christoffel Functions\"\"; \"\"Theorem 1.7: Restricted Range Inequalities\"\"; \"\"Theorem 1.8: L[sub(p)] Norms of Orthonormal Polynomials\"\"; \"\"Â2. Some Ideas Behind the Proofs\"\"; \"\"I. An Orthogonal Polynomial Angle\"\"; \"\"II. The Potential Theory Side: Lower Bounds for Î»[sub(n)]\"\""]
[{"$nulls":4},"\"\"Proof of Theorem 4.2\"\"\"\"Proof of Theorem 4.3 (b)\"\"; \"\"Proof of Theorem 4.3 (a)\"\"; \"\"Â5. Majorization Functions and Integral Equations\"\"; \"\"Lemma 5.1: Old Potential Theory/Integral Equations\"\"; \"\"Lemma 5.2: Estimates for B[sub(n,R)],v[sub(n,R)]\"\"; \"\"Theorem 5.3: Estimates for U[sub(n,R)]\"\"; \"\"Â6. The Proof of Theorem 1.7\"\"; \"\"Lemma 6.1: L[sub(p)] Bounds for Weighted Polynomials\"\"; \"\"Proof of Theorem 1.7\"\"; \"\"Â7. Lower Bounds for Î»[sub(n)]\"\"; \"\"Theorem 7.1: Lower Bounds for Î?[sub(n)]\"\"; \"\"Lemma 7.2: Preliminary Lower Bounds\"\"; \"\"Proof of Theorem 7.1\"\""]
[{"$nulls":4},"\"\"Â8. Discretisation of a Potential: Theorem 1.6\"\"\"\"Theorem 8.1: One Point Polynomials\"\"; \"\"Deduction of Theorem 1.6\"\"; \"\"Theorem 8.2: The Bounds for Î?[sub(n)]\"\"; \"\"Deduction of Theorem 8.1\"\"; \"\"Lemma 8.3: Estimates for the discretisation points\"\"; \"\"Lemma 8.4: Estimates for S[sub(1)]+[sub(4)]\"\"; \"\"Lemma 8.5: Estimates for Î?[sub(j)]\"\"; \"\"Lemma 8.6: "]
[{"$nulls":4},"Estimates for Ï?[sub(j)]\"\"; \"\"Lemma 8.7: Estimates for S[sub(21)]\"\"; \"\"Lemma 8.8: Lower Bounds for S[sub(2)]\"\"; \"\"Lemma 8.9: Upper Bounds for S[sub(2)]\"\"; \"\"Lemma 8.10: Bounds for S[sub(3)]\"\"; \"\"Proof of Theorem 8.2\"\""]
[{"$nulls":4},"\"\"Lemma 11.5: An Estimate for I[sub(3)]\"\""]