Generalized Christoffel Functions for Power Orthogonal Polynomials

被引:0
|
作者
Xie TAO [1 ]
Yan LIANG [2 ]
机构
[1] Guangdong Country Garden School
[2] College of Mathematics and Computer Science,Key Laboratory of High Performance Computing and Stochastic Information Processing(HPCSIP)(Ministry of Education of China),Hunan Normal University
基金
中国国家自然科学基金;
关键词
generalized Christoffel function; existence; uniqueness; gaussian quadrature formula; Christoffel number;
D O I
暂无
中图分类号
O174.14 [多项式理论];
学科分类号
070104 ;
摘要
In this paper we extend the Christoffel functions to the case of power orthogonal polynomials.The existence and uniqueness as well as some properties are given.
引用
收藏
页码:819 / 832
页数:14
相关论文
共 50 条
  • [1] Generalized Christoffel Functions for Power Orthogonal Polynomials
    Tao, Xie
    Liang, Yan
    [J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2014, 30 (03): : 819 - 832
  • [2] Generalized Christoffel functions for power orthogonal polynomials
    Xie Tao
    Yan Liang
    [J]. Acta Mathematicae Applicatae Sinica, English Series, 2014, 30 : 819 - 832
  • [3] GENERALIZED JACOBI WEIGHTS, CHRISTOFFEL FUNCTIONS, AND ZEROS OF ORTHOGONAL POLYNOMIALS
    ERDELYI, T
    NEVAI, P
    [J]. JOURNAL OF APPROXIMATION THEORY, 1992, 69 (02) : 111 - 132
  • [4] Christoffel functions for multiple orthogonal polynomials
    Swiderski, Grzegorz
    Van Assche, Walter
    [J]. JOURNAL OF APPROXIMATION THEORY, 2022, 283
  • [5] DARBOUX-CHRISTOFFEL GENERALIZED FORMULA FOR ORTHOGONAL POLYNOMIALS
    LASCOUX, A
    HE, S
    [J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1985, 300 (20): : 681 - 683
  • [6] Generalized orthogonal polynomials and the Christoffel-Darboux formula
    Geronimus, J
    [J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES DE L URSS, 1940, 26 : 847 - 849
  • [7] Christoffel type functions for m-orthogonal polynomials
    Shi, YG
    [J]. JOURNAL OF APPROXIMATION THEORY, 2005, 137 (01) : 57 - 88
  • [8] Christoffel Functions and Universality in the Bulk for Multivariate Orthogonal Polynomials
    Kroo, A.
    Lubinsky, D. S.
    [J]. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2013, 65 (03): : 600 - 620
  • [9] On the Christoffel-Darboux formula for generalized matrix orthogonal polynomials
    Alvarez-Fernandez, Carlos
    Marnas, Manuel
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 418 (01) : 238 - 247
  • [10] CHRISTOFFEL FUNCTIONS, ORTHOGONAL POLYNOMIALS, AND NEVAI CONJECTURE FOR FREUD WEIGHTS
    LEVIN, AL
    LUBINSKY, DS
    [J]. CONSTRUCTIVE APPROXIMATION, 1992, 8 (04) : 463 - 535