Mixed type multiple orthogonal polynomials: Perfectness and interlacing properties of zeros

被引：7
|
作者：
Fidalgo, U. [1 ]
Medina Peralta, S. [1 ]
Minguez Ceniceros, J. [2 ]
机构：
[1] Univ Carlos III Madrid, Dept Math, Madrid 28911, Spain
[2] Univ La Rioja, Dept Math & Computat, Logrono 26004, La Rioja, Spain
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2013年 / 438卷 / 03期
关键词：
Multiple orthogonal polynomials; Interlacing zeros; AT systems; NIKISHIN SYSTEMS;
D O I：
10.1016/j.laa.2012.08.034
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The zeros of orthogonal polynomials on the real line are simple, lie in the interior of the convex hull of the support of the measure and the zeros of consecutive orthogonal polynomials interlace. We study a large class of mixed type multiple orthogonal polynomials for which similar properties hold. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：1229 / 1239
页数：11
相关论文
共 50 条
  • [31] ON THE DISTRIBUTION AND INTERLACING OF THE ZEROS OF STIELTJES POLYNOMIALS
    Bourget, A.
    McMillen, T.
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 138 (09) : 3267 - 3275
  • [32] Interlacing and bounds of zeros of quasi-orthogonal little q-Jacobi polynomials
    Kar, Pinaki Prasad
    Gochhayat, Priyabrat
    NUMERICAL ALGORITHMS, 2023, 93 (03) : 1157 - 1170
  • [33] Interlacing and bounds of zeros of quasi-orthogonal little q-Jacobi polynomials
    Pinaki Prasad Kar
    Priyabrat Gochhayat
    Numerical Algorithms, 2023, 93 : 1157 - 1170
  • [34] Zeros of Sobolev orthogonal polynomials of Gegenbauer type
    Groenevelt, WGM
    JOURNAL OF APPROXIMATION THEORY, 2002, 114 (01) : 115 - 140
  • [35] Zeros of Sobolev orthogonal polynomials of Hermite type
    de Bruin, MG
    Groenevelt, WGM
    Meijer, HG
    APPLIED MATHEMATICS AND COMPUTATION, 2002, 132 (01) : 135 - 166
  • [36] ASYMPTOTIC AVERAGE PROPERTIES OF ZEROS OF ORTHOGONAL POLYNOMIALS
    NEVAI, PG
    DEHESA, JS
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1979, 10 (06) : 1184 - 1192
  • [37] PROPERTIES OF ZEROS OF ORTHOGONAL POLYNOMIALS AND RELATED FUNCTIONS
    MULDOON, ME
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1993, 48 (1-2) : 167 - 186
  • [38] Interlacing of the zeros of Jacobi polynomials with different parameters
    Kathy Driver
    Kerstin Jordaan
    Norbert Mbuyi
    Numerical Algorithms, 2008, 49 : 143 - 152
  • [39] Mixed Type Multiple Orthogonal Polynomials for Two Nikishin Systems
    U. Fidalgo Prieto
    A. López García
    G. López Lagomasino
    V. N. Sorokin
    Constructive Approximation, 2010, 32 : 255 - 306
  • [40] Mixed Type Multiple Orthogonal Polynomials for Two Nikishin Systems
    Fidalgo Prieto, U.
    Garcia, A. Lopez
    Lopez Lagomasino, G.
    Sorokin, V. N.
    CONSTRUCTIVE APPROXIMATION, 2010, 32 (02) : 255 - 306
12345