Christoffel functions on convex and starlike domains in Rd

被引:9
|
作者
Kroo, Andras [1 ,2 ]
机构
[1] Hungarian Acad Sci, Alfred Renyi Inst Math, Budapest, Hungary
[2] Budapest Univ Technol & Econ, Dept Anal, Budapest, Hungary
关键词
Multivariate polynomials; Starlike sets; Orthogonal polynomials; Christoffel functions; POLYNOMIALS; ASYMPTOTICS;
D O I
10.1016/j.jmaa.2014.07.037
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we study the magnitude of the multivariate Christoffel functions on general starlike and convex domains. We will obtain sharp pointwise upper bounds which will reveal the behavior of Christoffel functions near the boundary of the domain and their dependence on the geometry of the domain. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码:718 / 729
页数:12
相关论文
共 50 条
  • [41] SOME CONDITIONS ON STARLIKE AND CLOSE TO CONVEX FUNCTIONS
    Yildiz, Ismet
    Sahin, Hasan
    Mert, Oya
    THERMAL SCIENCE, 2022, 26 : S639 - S645
  • [42] NEW SUFFICIENT CONDITIONS FOR STARLIKE AND CONVEX FUNCTIONS
    Nishiwaki, J.
    Owa, S.
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2014, 4 (01): : 74 - 79
  • [43] SOME CONDITIONS ON STARLIKE AND CLOSE TO CONVEX FUNCTIONS
    Yildiz, Ismet
    Sahin, Hasan
    Mert, Oya
    THERMAL SCIENCE, 2022, 26 (SpecialIssue2): : S639 - S645
  • [44] A NEW GENERAL IDEA FOR STARLIKE AND CONVEX FUNCTIONS
    Owa, Shigeyoshi
    Srivastava, H. M.
    Hayami, Toshio
    Kuroki, Kazuo
    TAMKANG JOURNAL OF MATHEMATICS, 2016, 47 (04): : 445 - 454
  • [45] Coefficient inequalities for certain starlike and convex functions
    Kumar, Sushil
    Cetinkaya, Asena
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2022, 51 (01): : 156 - 171
  • [46] ABSOLUTE STARLIKE AND ABSOLUTE CONVEX-FUNCTIONS
    BUCKHOLTZ, JD
    SHAH, SM
    JOURNAL D ANALYSE MATHEMATIQUE, 1980, 38 : 113 - 143
  • [47] Differential inequalities and criteria for starlike and convex functions
    Billing, Sukhwinder Singh
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2014, 59 (02): : 191 - 198
  • [48] New Subclasses of Harmonic Starlike and Convex Functions
    Porwal, Saurabh
    Dixit, Kaushal Kishore
    KYUNGPOOK MATHEMATICAL JOURNAL, 2013, 53 (03): : 467 - 478
  • [49] ON STARLIKE AND CLOSE-TO-CONVEX UNIVALENT FUNCTIONS
    THOMAS, DK
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY, 1967, 42 (167P): : 427 - &
  • [50] Starlike and Convex Functions Associated with a Nephroid Domain
    Wani, Lateef Ahmad
    Swaminathan, A.
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2021, 44 (01) : 79 - 104