Christoffel functions and orthogonal polynomials for Erd¨os weights on (–∞,∞)

We establish bounds on orthonormal polynomials and Christoffel functions associated with weights on IR of the form W2 = e−2Q, where Q : IR → IR is even, and is of faster than polynomial growth at ∞ (so-called Erd¨os weights). Typical examples are Q(x) := expk |x| α1, α > 1, , where expk = expk (...

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Bibliographic Details
Main Authors: A.L. LEVIN, D.S. LUBINSKY, T.Z. MTHEMBU
Format: Article
Language:English
Published: Sapienza Università Editrice 1994-01-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
Online Access:https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1994(2)/199-289.pdf

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