Periodic perturbations of unbounded Jacobi matrices II: Formulas for density

被引：8

作者：

Swiderski, Grzegorz ^{[1
]}

机构：

[1] Uniwersytet Wroclawski, Inst Matemat, Pl Grunwaldzki 2-4, PL-50384 Wroclaw, Poland

来源：

JOURNAL OF APPROXIMATION THEORY | 2017年 / 216卷

关键词：

Continuous positive density; Turan determinants; Christoffel functions; Asymptotics of orthonormal polynomials; ORTHOGONAL POLYNOMIALS; CHRISTOFFEL FUNCTIONS; ASYMPTOTIC-BEHAVIOR; SPECTRAL PROPERTIES; UNIVERSALITY; GAPS;

D O I：

10.1016/j.jat.2017.01.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give formulas for the density of the measure of orthogonality for orthonormal polynomials with unbounded recurrence coefficients. The formulas involve limits of appropriately scaled Turan determinants or Christoffel functions. Exact asymptotics of the polynomials and numerical examples are also provided. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：67 / 85

页数：19

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