Some properties of Chebyshev polynomials

被引:0
作者
Kim, Seon-Hong [1 ]
机构
[1] Sookmyung Womens Univ, Dept Math, Seoul 140742, South Korea
基金
新加坡国家研究基金会;
关键词
Chebyshev polynomials; bounds; sums; zeros;
D O I
10.1186/1029-242X-2012-167
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we obtain some new bounds for Chebyshev polynomials and their analogues. They lead to the results about zero distributions of certain sums of Chebyshev polynomials and their analogues. Also we get an interesting property about the integrals of certain sums of Chebyshev polynomials.
引用
收藏
页数:10
相关论文
共 50 条
[41]   On Chebyshev polynomials and their applications [J].
Xingxing Lv ;
Shimeng Shen .
Advances in Difference Equations, 2017
[42]   Permutation properties of Dickson and Chebyshev polynomials with connections to number theory [J].
Bluher, Antonia W. .
FINITE FIELDS AND THEIR APPLICATIONS, 2021, 76 (76)
[43]   On the zeros of certain linear combinations of Chebyshev polynomials [J].
Bavinck, H .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1995, 65 (1-3) :19-26
[44]   Sparse Interpolation in Terms of Multivariate Chebyshev Polynomials [J].
Hubert, Evelyne ;
Singer, Michael F. .
FOUNDATIONS OF COMPUTATIONAL MATHEMATICS, 2022, 22 (06) :1801-1862
[45]   A note on orthogonal polynomials described by Chebyshev polynomials [J].
Castillo, K. ;
de Jesus, M. N. ;
Petronilho, J. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 497 (02)
[46]   Representing Sums of Finite Products of Chebyshev Polynomials of Third and Fourth Kinds by Chebyshev Polynomials [J].
Kim, Taekyun ;
Kim, Dae San ;
Dolgy, Dmitry, V ;
Ryoo, Cheon Seoung .
SYMMETRY-BASEL, 2018, 10 (07)
[47]   ON LINEAR COMBINATIONS OF CHEBYSHEV POLYNOMIALS [J].
Stankov, Dragan .
PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2015, 97 (111) :57-67
[48]   Cryptosystem based on chebyshev polynomials [J].
Chen, Xiao-Song ;
Sun, Yi-Wei .
Tiedao Xuebao/Journal of the China Railway Society, 2013, 35 (01) :77-79
[49]   On the Bezoutian matrix for Chebyshev polynomials [J].
Yang, ZhengHong ;
Cui, BingFei .
APPLIED MATHEMATICS AND COMPUTATION, 2012, 219 (03) :1183-1192
[50]   On probabilistic aspects of Chebyshev polynomials [J].
Szablowski, Pawel J. .
STATISTICS & PROBABILITY LETTERS, 2019, 145 :205-215