Some asymptotic properties for orthogonal polynomials with respect to varying measures

被引：8
作者：
Alfaro, MP
Hernández, MB
Montaner, JM
Varona, JL
机构：
[1] Univ La Rioja, Dept Matemat & Computac, Logrono 26004, Spain
[2] Univ Zaragoza, Dept Matemat, Zaragoza 50009, Spain
[3] Univ Zaragoza, Dept Matemat Aplicada, Zaragoza 50018, Spain
来源：
JOURNAL OF APPROXIMATION THEORY | 2005年 / 135卷 / 01期
关键词：
orthogonal polynomials; varying measures; zeros; asymptotics;
D O I：
10.1016/j.jat.2005.03.002
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study some properties of the zeros and the asymptotic behavior of orthogonal polynomials with respect to varying measures on the unit circle. In the proofs, some techniques of rational approximation are used. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码：22 / 34
页数：13
相关论文
共 50 条
[21]   Asymptotic Behavior and Zero Distribution of Polynomials Orthogonal with Respect to Bessel Functions [J].
Alfredo Deaño ;
Arno B. J. Kuijlaars ;
Pablo Román .
Constructive Approximation, 2016, 43 :153-196
[22]   Strong asymptotics of orthogonal polynomials with varying measures and Hermite-Pade approximants [J].
Ysern, BD ;
Lagomasino, GL .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1998, 99 (1-2) :91-103
[23]   Asymptotic Properties of Orthogonal Polynomials with Respect to a Non-discrete Jacobi-Sobolev Inner Product [J].
Fejzullahu, Bujar Xh. ;
Marcellan, Francisco .
ACTA APPLICANDAE MATHEMATICAE, 2010, 110 (03) :1309-1320
[24]   Asymptotic Properties of Orthogonal Polynomials with Respect to a Non-discrete Jacobi-Sobolev Inner Product [J].
Bujar Xh. Fejzullahu ;
Francisco Marcellán .
Acta Applicandae Mathematicae, 2010, 110 :1309-1320
[25]   Varying Jacobi–Krall orthogonal polynomials: local asymptotic behaviour and zeros [J].
Juan J. Moreno-Balcázar .
The Ramanujan Journal, 2012, 28 :79-88
[26]   The asymptotic behaviour of recurrence coefficients for orthogonal polynomials with varying exponential weights [J].
Kuijlaars, A. B. J. ;
Tibboel, P. M. J. .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 233 (03) :775-785
[27]   Asymptotic zero distribution of orthogonal polynomials with discontinuously varying recurrence coefficients [J].
Kuijlaars, ABJ ;
Capizzano, SS .
JOURNAL OF APPROXIMATION THEORY, 2001, 113 (01) :142-155
[28]   Asymptotic formulae for the zeros of orthogonal polynomials [J].
Badkov, V. M. .
SBORNIK MATHEMATICS, 2012, 203 (09) :1231-1243
[29]   Asymptotic properties of Chebyshev-Sobolev orthogonal polynomials [J].
Berriochoa, E ;
Cachafeiro, A ;
Garcia-Amor, JM .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2005, 178 (1-2) :63-74
[30]   ON ORTHOGONAL POLYNOMIALS WITH RESPECT TO CERTAIN DISCRETE SOBOLEV INNER PRODUCT [J].
Marcellan, Francisco ;
Zejnullahu, Ramadan ;
Fejzullahu, Bujar ;
Huertas, Edmundo .
PACIFIC JOURNAL OF MATHEMATICS, 2012, 257 (01) :167-188
12345