Invariants and Chebyshev polynomials

被引：0
|
作者：
Yudin, V. A. [1 ,2 ]
机构：
[1] Tech Univ, Moscow Power Engn Inst, Phys Mat Sci, Moscow, Russia
[2] Tech Univ, Moscow Power Engn Inst, Moscow, Russia
来源：
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN | 2009年 / 15卷 / 01期
关键词：
lattices; invariants; designs; best approximations;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
On different compact sets from R-n, new multidimensional analogs of algebraic polynomials of least deviation from zero (the Chebyshev polynomials) are constructed. A brief review of the analogs constructed earlier is given. Estimates of best approximations obtained by using extremal signatures, lattices, and finite groups are presented.
引用
收藏
页码：222 / 239
页数：18
相关论文
共 50 条
  • [31] CHEBYSHEV SPACES OF POLYNOMIALS
    KIMCHI, E
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 1976, 13 (01) : 44 - 50
  • [32] The Chebyshev polynomials of a matrix
    Toh, KC
    Trefethen, LN
    SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1998, 20 (02) : 400 - 419
  • [33] ON CHEBYSHEV POLYNOMIALS OF MATRICES
    Faber, Vance
    Liesen, Joerg
    Tichy, Petr
    SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2010, 31 (04) : 2205 - 2221
  • [34] On Chebyshev polynomials and their applications
    Lv, Xingxing
    Shen, Shimeng
    ADVANCES IN DIFFERENCE EQUATIONS, 2017,
  • [35] On modified Chebyshev polynomials
    Nadarajah, Saralees
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 334 (02) : 1492 - 1494
  • [36] FACTORING CHEBYSHEV POLYNOMIALS
    Grubb, D. J.
    FIBONACCI QUARTERLY, 2014, 52 (04): : 360 - 366
  • [37] An Extension of the Chebyshev Polynomials
    Anna Tatarczak
    Complex Analysis and Operator Theory, 2016, 10 : 1519 - 1533
  • [38] On Chebyshev polynomials and their applications
    Xingxing Lv
    Shimeng Shen
    Advances in Difference Equations, 2017
  • [39] A note on Chebyshev polynomials
    Dattoli G.
    Sacchetti D.
    Cesarano C.
    Annali dell’Università di Ferrara, 2001, 47 (1): : 107 - 115
  • [40] The Resultant of Chebyshev Polynomials
    Jacobs, David P.
    Rayes, Mohamed O.
    Trevisan, Vilmar
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2011, 54 (02): : 288 - 296
12345