CHRISTOFFEL FUNCTIONS AND UNIVERSALITY LIMITS FOR ORTHOGONAL RATIONAL FUNCTIONS-Reference-Cited by-同舟云学术

CHRISTOFFEL FUNCTIONS AND UNIVERSALITY LIMITS FOR ORTHOGONAL RATIONAL FUNCTIONS

Published:2012-07 Issue:03 Volume:10 Page:271-294
ISSN:0219-5305
Container-title:Analysis and Applications
language:en
Short-container-title:Anal. Appl.

Author:

DECKERS KARL¹,LUBINSKY DORON S.²

Affiliation:

1. Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200A, B-3001, Heverlee (Leuven), Belgium

2. School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332-0160, USA

Abstract

We establish limits for Christoffel functions associated with orthogonal rational functions, whose poles remain a fixed distance away from the interval of orthogonality [-1, 1], and admit a suitable asymptotic distribution. The measure of orthogonality μ is assumed to be regular on [-1, 1], and to satisfy a local condition such as continuity of μ′. As a consequence, we deduce universality limits in the bulk for reproducing kernels associated with orthogonal rational functions.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219530512500133

Reference19 articles.

1. Orthogonal Rational Functions

2. Recurrence and asymptotics for orthonormal rational functions on an interval

3. Computing rational Gauss–Chebyshev quadrature formulas with complex poles: The algorithm

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