A de Casteljau Algorithm for q-Bernstein-Stancu Polynomials

被引:3
|
作者
Nowak, Grzegorz [1 ]
机构
[1] Great Poland Univ Social & Econ Sroda Wielkopolsk, PL-63000 Sroda Wielkopolska, Poland
关键词
D O I
10.1155/2011/609431
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper is concerned with a generalization of the q-Bernstein polynomials and Stancu operators, where the function is evaluated at intervals which are in geometric progression. It is shown that these polynomials can be generated by a de Casteljau algorithm, which is a generalization of that relating to the classical case and q-Bernstein case.
引用
收藏
页数:13
相关论文
共 50 条
  • [41] q-Bernstein polynomials and their iterates
    Ostrovska, S
    JOURNAL OF APPROXIMATION THEORY, 2003, 123 (02) : 232 - 255
  • [42] A note on q-Bernstein polynomials
    T. Kim
    Russian Journal of Mathematical Physics, 2011, 18
  • [43] De Casteljau algorithm on Lie groups and spheres
    Crouch P.
    Kun G.
    Silva Leite F.
    Journal of Dynamical and Control Systems, 1999, 5 (3) : 397 - 429
  • [44] A Note on q-Bernstein Polynomials
    Kim, T.
    RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2011, 18 (01) : 73 - 82
  • [45] Approximation of Linear Gain Slope Equalizer using Bernstein-Stancu Polynomials
    Chutchavong, Vanvisa
    Janchitrapongvej, Kanok
    Nomura, Hideyuki
    Kanamori, Chisato
    Aoyama, Hisayuki
    PROCEEDINGS OF THE 2016 IEEE REGION 10 CONFERENCE (TENCON), 2016, : 3344 - 3348
  • [46] Statistical Approximation by (p, q)-analogue of Bernstein-Stancu Operators
    Khan, A.
    Sharma, V
    AZERBAIJAN JOURNAL OF MATHEMATICS, 2018, 8 (02): : 100 - 121
  • [47] Chlodowsky-type q-Bernstein-Stancu-Kantorovich operators
    Tuba Vedi
    Mehmet Ali Özarslan
    Journal of Inequalities and Applications, 2015
  • [48] Chlodowsky-type q-Bernstein-Stancu-Kantorovich operators
    Vedi, Tuba
    Ozarslan, Mehmet Ali
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
  • [49] Representation of (p, q)-Bernstein polynomials in terms of (p,q)-Jacobi polynomials
    Soleyman, F.
    Area, I.
    Masjed-Jamei, M.
    Nieto, J. J.
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
  • [50] q-BERNSTEIN POLYNOMIALS ASSOCIATED WITH q-GENOCCHI NUMBERS AND POLYNOMIALS
    Rim, Seog-Hoon
    Jeong, Joo-Hee
    Lee, Sun-Jung
    Jin, Jeong-Hee
    Moon, Eun-Jung
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2012, 14 (06) : 1006 - 1013